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    LCM for 90 and 315

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 90 and 315?

    Answer

    LCM of 90 and 315 is
    630

    First common multiples: 630; 1,260; 1,890; …

    630 is divisible by both: 630 ÷ 90 = 7, 630 ÷ 315 = 2 — and 7 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/90 by 7 and of y/315 by 2.

    90 = 2 × 32 × 5

    315 = 32 × 5 × 7

    Prime90315Highest power
    22—2
    3323232
    5555
    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 × 32 × 5 × 7 = 630

    More with these numbers

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    What is the LCM of 90 and 315? The LCM of 90 and 315 is 630 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    90165990
    901901,710
    902001,800
    902053,690
    90210630
    902153,870
    902302,070
    902354,230
    902502,250
    902551,530
    902602,340
    90270270
    902754,950
    902802,520
    902851,710
    902902,610
    903055,490
    90315630
    903452,070
    90360360
    903856,930
    90405810
    904257,650
    904303,870
    904403,960
    904458,010
    904604,140
    904758,550
    904904,410
    90495990

    FAQ

    What's the Least Common Multiple (LCM) of 90 and 315?

    LCM of 90 and 315 is 630

    How to find the LCM of 90 and 315 using prime factorization?

    To find the LCM of 90 and 315, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 630.

    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 90 and 315: LCM = 630, GCF = 45.

    See Also