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    LCM for 64 and 72

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 64 and 72?

    Answer

    LCM of 64 and 72 is
    576

    First common multiples: 576; 1,152; 1,728; …

    576 is divisible by both: 576 ÷ 64 = 9, 576 ÷ 72 = 8 — and 9 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/64 by 9 and of y/72 by 8.

    64 = 26

    72 = 23 × 32

    Prime6472Highest power
    2262326
    3—3232

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

    LCM = 26 × 32 = 576

    More with these numbers

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    What is the LCM of 64 and 72? The LCM of 64 and 72 is 576 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    64573,648
    64581,856
    64593,776
    6460960
    64613,904
    64621,984
    64634,032
    646464
    64654,160
    64662,112
    64674,288
    64681,088
    64694,416
    64702,240
    64714,544
    6472576
    64734,672
    64742,368
    64754,800
    64761,216
    64774,928
    64782,496
    64795,056
    6480320
    64815,184
    64822,624
    64835,312
    64841,344
    64855,440
    64862,752

    FAQ

    What's the Least Common Multiple (LCM) of 64 and 72?

    LCM of 64 and 72 is 576

    How to find the LCM of 64 and 72 using prime factorization?

    To find the LCM of 64 and 72, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 576.

    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 64 and 72: LCM = 576, GCF = 8.

    See Also