{"id":239343,"date":"2025-07-02T19:57:48","date_gmt":"2025-07-02T19:57:48","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=239343"},"modified":"2025-07-02T19:57:50","modified_gmt":"2025-07-02T19:57:50","slug":"explain-how-to-find-the-lcm-of-8-and-10","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/02\/explain-how-to-find-the-lcm-of-8-and-10\/","title":{"rendered":"Explain how to find the LCM of 8 and 10"},"content":{"rendered":"\n<p>Explain how to find the LCM of 8 and 10<\/p>\n\n\n\n<p>To find the Least Common Multiple (LCM) of two numbers, like 8 and 10, we can use several methods. I&#8217;ll walk you through one method that\u2019s fairly straightforward\u2014prime factorization\u2014and then we\u2019ll check our result.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Prime Factorization<\/h3>\n\n\n\n<p>We start by breaking down each number into its prime factors.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>For 8, we can express it as:<br>8=2\u00d72\u00d728 = 2 \\times 2 \\times 28=2\u00d72\u00d72<br>This means the prime factorization of 8 is 232^323.<\/li>\n\n\n\n<li>For 10, we can express it as:<br>10=2\u00d7510 = 2 \\times 510=2\u00d75<br>The prime factorization of 10 is 21\u00d7512^1 \\times 5^121\u00d751.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Identify the Highest Powers of All Prime Factors<\/h3>\n\n\n\n<p>To find the LCM, we need to take the highest power of each prime factor that appears in either number.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The prime factor 2 appears in both 8 and 10, but the highest power is 232^323 (from 8).<\/li>\n\n\n\n<li>The prime factor 5 only appears in 10, so we take 515^151.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Multiply the Highest Powers<\/h3>\n\n\n\n<p>Now, multiply the highest powers of all the primes together to find the LCM:LCM=23\u00d751=8\u00d75=40LCM = 2^3 \\times 5^1 = 8 \\times 5 = 40LCM=23\u00d751=8\u00d75=40<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>So, the LCM of 8 and 10 is 40. This means that 40 is the smallest number that both 8 and 10 divide evenly into.<\/p>\n\n\n\n<p>This method of prime factorization ensures that we account for all the factors while ensuring we only take the necessary multiples. You can verify this by listing the multiples of each number:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The multiples of 8 are: 8, 16, 24, 32, 40, &#8230;<\/li>\n\n\n\n<li>The multiples of 10 are: 10, 20, 30, 40, &#8230;<\/li>\n<\/ul>\n\n\n\n<p>As you can see, 40 is the first common multiple, which confirms our answer.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-17.jpeg\" alt=\"\" class=\"wp-image-239374\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Explain how to find the LCM of 8 and 10 To find the Least Common Multiple (LCM) of two numbers, like 8 and 10, we can use several methods. I&#8217;ll walk you through one method that\u2019s fairly straightforward\u2014prime factorization\u2014and then we\u2019ll check our result. Step 1: Prime Factorization We start by breaking down each number [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-239343","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/239343","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=239343"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/239343\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=239343"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=239343"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=239343"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}