{"id":24602,"date":"2025-06-18T16:26:29","date_gmt":"2025-06-18T16:26:29","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=24602"},"modified":"2025-06-18T16:26:32","modified_gmt":"2025-06-18T16:26:32","slug":"malaysia-collins-what-is-the-least-common-multiple-of-15-and-25","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/malaysia-collins-what-is-the-least-common-multiple-of-15-and-25\/","title":{"rendered":"Malaysia Collins What is the least common multiple of 15 and 25"},"content":{"rendered":"\n<p>Malaysia Collins What is the least common multiple of 15 and 25? (A) 50 (B) 75 C) 5<br>(D) 40<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p>The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers.<\/p>\n\n\n\n<p>Let&#8217;s find the LCM of 15 and 25.<\/p>\n\n\n\n<p><strong>Step 1: Prime Factorization<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>15 = 3 \u00d7 5<\/li>\n\n\n\n<li>25 = 5 \u00d7 5 (or 5\u00b2)<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 2: Identify the highest powers of each prime factor appearing in either number:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>For prime 3: highest power is 3\u00b9 (from 15)<\/li>\n\n\n\n<li>For prime 5: highest power is 5\u00b2 (from 25)<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 3: Multiply these highest powers together to get the LCM:<\/strong><br>LCM = 3\u00b9 \u00d7 5\u00b2 = 3 \u00d7 25 = 75<\/p>\n\n\n\n<p><strong>Answer:<\/strong> (B) 75<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The least common multiple (LCM) is essential when you want to find a common base to work with two different numbers, especially useful in adding or comparing fractions, scheduling events, or solving problems involving repeating cycles.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiples of 15: 15, 30, 45, 60, 75, 90, &#8230;<\/li>\n\n\n\n<li>Multiples of 25: 25, 50, 75, 100, 125, &#8230;<\/li>\n<\/ul>\n\n\n\n<p>The smallest multiple that appears in both lists is 75.<\/p>\n\n\n\n<p>Another method to find the LCM is using the relationship between the Greatest Common Divisor (GCD) and LCM: LCM(a,b)=a\u00d7bGCD(a,b)\\text{LCM}(a,b) = \\frac{a \\times b}{\\text{GCD}(a,b)}<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>GCD of 15 and 25 is 5 (the largest number that divides both evenly).<\/li>\n\n\n\n<li>Then:<\/li>\n<\/ul>\n\n\n\n<p>LCM=15\u00d7255=3755=75\\text{LCM} = \\frac{15 \\times 25}{5} = \\frac{375}{5} = 75<\/p>\n\n\n\n<p>Thus, 75 is the least common multiple of 15 and 25.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Summary:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The least common multiple of 15 and 25 is <strong>75<\/strong>.<\/li>\n\n\n\n<li>This is because 75 is the smallest number divisible by both 15 and 25.<\/li>\n\n\n\n<li>Answer choice <strong>(B) 75<\/strong> is correct.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Malaysia Collins What is the least common multiple of 15 and 25? (A) 50 (B) 75 C) 5(D) 40 The correct answer and explanation is: The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. Let&#8217;s find the LCM of 15 and 25. Step 1: Prime [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-24602","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24602","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=24602"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24602\/revisions"}],"predecessor-version":[{"id":24609,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24602\/revisions\/24609"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=24602"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=24602"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=24602"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}