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    LCM for 27 and 32

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 27 and 32?

    Answer

    LCM of 27 and 32 is
    864

    First common multiples: 864; 1,728; 2,592; …

    864 is divisible by both: 864 ÷ 27 = 32, 864 ÷ 32 = 27 — and 32 and 27 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/27 by 32 and of y/32 by 27.

    27 and 32 are coprime (GCF = 1), so their LCM is simply the product: 27 × 32 = 864.

    27 = 33

    32 = 25

    Prime2732Highest power
    2—2525
    333—33

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

    LCM = 25 × 33 = 864

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    What is the LCM of 27 and 32? The LCM of 27 and 32 is 864 — the smallest common multiple of both integers.
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    FAQ

    What's the Least Common Multiple (LCM) of 27 and 32?

    LCM of 27 and 32 is 864

    How to find the LCM of 27 and 32 using prime factorization?

    To find the LCM of 27 and 32, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 864.

    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 27 and 32: LCM = 864, GCF = 1.