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    LCM for 81 and 108

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 81 and 108?

    Answer

    LCM of 81 and 108 is
    324

    First common multiples: 324, 648, 972, …

    324 is divisible by both: 324 ÷ 81 = 4, 324 ÷ 108 = 3 — and 4 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/81 by 4 and of y/108 by 3.

    81 = 34

    108 = 22 × 33

    Prime81108Highest power
    2—2222
    3343334

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

    LCM = 22 × 34 = 324

    More with these numbers

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    What is the LCM of 81 and 108? The LCM of 81 and 108 is 324 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    81932,511
    81947,614
    81957,695
    81962,592
    81977,857
    81987,938
    8199891
    811008,100
    811018,181
    811022,754
    811038,343
    811048,424
    811052,835
    811068,586
    811078,667
    81108324
    811098,829
    811108,910
    811112,997
    811129,072
    811139,153
    811143,078
    811159,315
    811169,396
    811171,053
    811189,558
    811199,639
    811203,240
    811219,801
    811229,882

    FAQ

    What's the Least Common Multiple (LCM) of 81 and 108?

    LCM of 81 and 108 is 324

    How to find the LCM of 81 and 108 using prime factorization?

    To find the LCM of 81 and 108, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 324.

    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 81 and 108: LCM = 324, GCF = 27.

    See Also