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    LCM for 56 and 64

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 56 and 64?

    Answer

    LCM of 56 and 64 is
    448

    First common multiples: 448; 896; 1,344; …

    448 is divisible by both: 448 ÷ 56 = 8, 448 ÷ 64 = 7 — and 8 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/56 by 8 and of y/64 by 7.

    56 = 23 × 7

    64 = 26

    Prime5664Highest power
    2232626
    77—7

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

    LCM = 26 × 7 = 448

    More with these numbers

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    What is the LCM of 56 and 64? The LCM of 56 and 64 is 448 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    5649392
    56501,400
    56512,856
    5652728
    56532,968
    56541,512
    56553,080
    565656
    56573,192
    56581,624
    56593,304
    5660840
    56613,416
    56621,736
    5663504
    5664448
    56653,640
    56661,848
    56673,752
    5668952
    56693,864
    5670280
    56713,976
    5672504
    56734,088
    56742,072
    56754,200
    56761,064
    5677616
    56782,184

    FAQ

    What's the Least Common Multiple (LCM) of 56 and 64?

    LCM of 56 and 64 is 448

    How to find the LCM of 56 and 64 using prime factorization?

    To find the LCM of 56 and 64, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 448.

    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 56 and 64: LCM = 448, GCF = 8.

    See Also