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    LCM for 24 and 36

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 24 and 36?

    Answer

    LCM of 24 and 36 is
    72

    First common multiples: 72, 144, 216, …

    72 is divisible by both: 72 ÷ 24 = 3, 72 ÷ 36 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/24 by 3 and of y/36 by 2.

    24 = 23 × 3

    36 = 22 × 32

    Prime2436Highest power
    2232223
    333232

    LCM = 23 × 32 = 72

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    What is the LCM of 24 and 36? The LCM of 24 and 36 is 72 — the smallest common multiple of both integers.
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    FAQ

    What's the Least Common Multiple (LCM) of 24 and 36?

    LCM of 24 and 36 is 72

    How to find the LCM of 24 and 36 using prime factorization?

    To find the LCM of 24 and 36, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 72.

    What is the difference between LCM and GCF?

    LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 24 and 36: LCM = 72, GCF = 12.