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    LCM for 108 and 120

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 108 and 120?

    Answer

    LCM of 108 and 120 is
    1,080

    First common multiples: 1,080; 2,160; 3,240; …

    1,080 is divisible by both: 1,080 ÷ 108 = 10; 1,080 ÷ 120 = 9 — and 10 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/108 by 10 and of y/120 by 9.

    108 = 22 × 33

    120 = 23 × 3 × 5

    Prime108120Highest power
    2222323
    333333
    5—55

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

    LCM = 23 × 33 × 5 = 1,080

    More with these numbers

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    What is the LCM of 108 and 120? The LCM of 108 and 120 is 1,080 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1081053,780
    1081065,724
    10810711,556
    108108108
    10810911,772
    1081105,940
    1081113,996
    1081123,024
    10811312,204
    1081142,052
    10811512,420
    1081163,132
    1081171,404
    1081186,372
    10811912,852
    1081201,080
    10812113,068
    1081226,588
    1081234,428
    1081243,348
    10812513,500
    108126756
    10812713,716
    1081283,456
    1081294,644
    1081307,020
    10813114,148
    1081321,188
    10813314,364
    1081347,236

    FAQ

    What's the Least Common Multiple (LCM) of 108 and 120?

    LCM of 108 and 120 is 1,080

    How to find the LCM of 108 and 120 using prime factorization?

    To find the LCM of 108 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,080.

    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 108 and 120: LCM = 1,080, GCF = 12.

    See Also