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    LCM for 18 and 32

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 18 and 32?

    Answer

    LCM of 18 and 32 is
    288

    First common multiples: 288, 576, 864, …

    288 is divisible by both: 288 ÷ 18 = 16, 288 ÷ 32 = 9 — and 16 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/18 by 16 and of y/32 by 9.

    18 = 2 × 32

    32 = 25

    Prime1832Highest power
    222525
    332—32

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

    LCM = 25 × 32 = 288

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    What is the LCM of 18 and 32? The LCM of 18 and 32 is 288 — the smallest common multiple of both integers.
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    FAQ

    What's the Least Common Multiple (LCM) of 18 and 32?

    LCM of 18 and 32 is 288

    How to find the LCM of 18 and 32 using prime factorization?

    To find the LCM of 18 and 32, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 288.

    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 18 and 32: LCM = 288, GCF = 2.