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    LCM for 60 and 450

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 60 and 450?

    Answer

    LCM of 60 and 450 is
    900

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

    900 is divisible by both: 900 ÷ 60 = 15, 900 ÷ 450 = 2 — and 15 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/60 by 15 and of y/450 by 2.

    60 = 22 × 3 × 5

    450 = 2 × 32 × 52

    Prime60450Highest power
    222222
    333232
    555252

    LCM = 22 × 32 × 52 = 900

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    What is the LCM of 60 and 450? The LCM of 60 and 450 is 900 — the smallest common multiple of both integers.
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    FAQ

    What's the Least Common Multiple (LCM) of 60 and 450?

    LCM of 60 and 450 is 900

    How to find the LCM of 60 and 450 using prime factorization?

    To find the LCM of 60 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 60 and 450: LCM = 900, GCF = 30.