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    LCM for 54 and 63

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 54 and 63?

    Answer

    LCM of 54 and 63 is
    378

    First common multiples: 378; 756; 1,134; …

    378 is divisible by both: 378 ÷ 54 = 7, 378 ÷ 63 = 6 — and 7 and 6 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/54 by 7 and of y/63 by 6.

    54 = 2 × 33

    63 = 32 × 7

    Prime5463Highest power
    22—2
    3333233
    7—77

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

    LCM = 2 × 33 × 7 = 378

    More with these numbers

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    What is the LCM of 54 and 63? The LCM of 54 and 63 is 378 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    5448432
    54492,646
    54501,350
    5451918
    54521,404
    54532,862
    545454
    54552,970
    54561,512
    54571,026
    54581,566
    54593,186
    5460540
    54613,294
    54621,674
    5463378
    54641,728
    54653,510
    5466594
    54673,618
    54681,836
    54691,242
    54701,890
    54713,834
    5472216
    54733,942
    54741,998
    54751,350
    54762,052
    54774,158

    FAQ

    What's the Least Common Multiple (LCM) of 54 and 63?

    LCM of 54 and 63 is 378

    How to find the LCM of 54 and 63 using prime factorization?

    To find the LCM of 54 and 63, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 378.

    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 54 and 63: LCM = 378, GCF = 9.

    See Also