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    LCM for 72 and 81

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 72 and 81?

    Answer

    LCM of 72 and 81 is
    648

    First common multiples: 648; 1,296; 1,944; …

    648 is divisible by both: 648 ÷ 72 = 9, 648 ÷ 81 = 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/72 by 9 and of y/81 by 8.

    72 = 23 × 32

    81 = 34

    Prime7281Highest power
    223—23
    3323434

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

    LCM = 23 × 34 = 648

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    What is the LCM of 72 and 81? The LCM of 72 and 81 is 648 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    7266792
    72674,824
    72681,224
    72691,656
    72702,520
    72715,112
    727272
    72735,256
    72742,664
    72751,800
    72761,368
    72775,544
    7278936
    72795,688
    7280720
    7281648
    72822,952
    72835,976
    7284504
    72856,120
    72863,096
    72872,088
    7288792
    72896,408
    7290360
    72916,552
    72921,656
    72932,232
    72943,384
    72956,840

    FAQ

    What's the Least Common Multiple (LCM) of 72 and 81?

    LCM of 72 and 81 is 648

    How to find the LCM of 72 and 81 using prime factorization?

    To find the LCM of 72 and 81, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 648.

    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 72 and 81: LCM = 648, GCF = 9.

    See Also