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    LCM for 12 and 57

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 12 and 57?

    Answer

    LCM of 12 and 57 is
    228

    First common multiples: 228, 456, 684, …

    228 is divisible by both: 228 ÷ 12 = 19, 228 ÷ 57 = 4 — and 19 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/12 by 19 and of y/57 by 4.

    12 = 22 × 3

    57 = 3 × 19

    Prime1257Highest power
    222—22
    3333
    19—1919

    — = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

    LCM = 22 × 3 × 19 = 228

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    What is the LCM of 12 and 57? The LCM of 12 and 57 is 228 — the smallest common multiple of both integers.
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    FAQ

    What's the Least Common Multiple (LCM) of 12 and 57?

    LCM of 12 and 57 is 228

    How to find the LCM of 12 and 57 using prime factorization?

    To find the LCM of 12 and 57, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 228.

    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 12 and 57: LCM = 228, GCF = 3.