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    LCM for 54 and 90

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 54 and 90?

    Answer

    LCM of 54 and 90 is
    270

    First common multiples: 270, 540, 810, …

    270 is divisible by both: 270 ÷ 54 = 5, 270 ÷ 90 = 3 — and 5 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/54 by 5 and of y/90 by 3.

    54 = 2 × 33

    90 = 2 × 32 × 5

    Prime5490Highest power
    2222
    3333233
    5—55

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

    LCM = 2 × 33 × 5 = 270

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    What is the LCM of 54 and 90? The LCM of 54 and 90 is 270 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    54751,350
    54762,052
    54774,158
    5478702
    54794,266
    54802,160
    5481162
    54822,214
    54834,482
    5484756
    54854,590
    54862,322
    54871,566
    54882,376
    54894,806
    5490270
    54914,914
    54922,484
    54931,674
    54942,538
    54955,130
    5496864
    54975,238
    54982,646
    5499594
    541002,700
    541015,454
    54102918
    541035,562
    541042,808

    FAQ

    What's the Least Common Multiple (LCM) of 54 and 90?

    LCM of 54 and 90 is 270

    How to find the LCM of 54 and 90 using prime factorization?

    To find the LCM of 54 and 90, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 270.

    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 90: LCM = 270, GCF = 18.