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    LCM for 30 and 185

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 30 and 185?

    Answer

    LCM of 30 and 185 is
    1,110

    First common multiples: 1,110; 2,220; 3,330; …

    1,110 is divisible by both: 1,110 ÷ 30 = 37; 1,110 ÷ 185 = 6 — and 37 and 6 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/30 by 37 and of y/185 by 6.

    30 = 2 × 3 × 5

    185 = 5 × 37

    Prime30185Highest power
    22—2
    33—3
    5555
    37—3737

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

    LCM = 2 × 3 × 5 × 37 = 1,110

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    What is the LCM of 30 and 185? The LCM of 30 and 185 is 1,110 — the smallest common multiple of both integers.
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    FAQ

    What's the Least Common Multiple (LCM) of 30 and 185?

    LCM of 30 and 185 is 1,110

    How to find the LCM of 30 and 185 using prime factorization?

    To find the LCM of 30 and 185, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,110.

    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 30 and 185: LCM = 1,110, GCF = 5.