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    LCM for 180 and 450

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 180 and 450?

    Answer

    LCM of 180 and 450 is
    900

    First common multiples: 900; 1,800; 2,700; …

    900 is divisible by both: 900 ÷ 180 = 5, 900 ÷ 450 = 2 — and 5 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/180 by 5 and of y/450 by 2.

    180 = 22 × 32 × 5

    450 = 2 × 32 × 52

    Prime180450Highest power
    222222
    3323232
    555252

    LCM = 22 × 32 × 52 = 900

    More with these numbers

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    What is the LCM of 180 and 450? The LCM of 180 and 450 is 900 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1804355,220
    18043619,620
    18043778,660
    18043813,140
    18043979,020
    1804403,960
    1804418,820
    18044239,780
    18044379,740
    1804446,660
    18044516,020
    18044640,140
    18044726,820
    18044820,160
    18044980,820
    180450900
    18045181,180
    18045220,340
    18045327,180
    18045440,860
    18045516,380
    1804566,840
    18045782,260
    18045841,220
    1804599,180
    1804604,140
    18046182,980
    18046213,860
    18046383,340
    18046420,880

    FAQ

    What's the Least Common Multiple (LCM) of 180 and 450?

    LCM of 180 and 450 is 900

    How to find the LCM of 180 and 450 using prime factorization?

    To find the LCM of 180 and 450, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 900.

    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 180 and 450: LCM = 900, GCF = 90.

    See Also