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    LCM for 30 and 80

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 30 and 80?

    Answer

    LCM of 30 and 80 is
    240

    First common multiples: 240, 480, 720, …

    240 is divisible by both: 240 ÷ 30 = 8, 240 ÷ 80 = 3 — and 8 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/30 by 8 and of y/80 by 3.

    30 = 2 × 3 × 5

    80 = 24 × 5

    Prime3080Highest power
    222424
    33—3
    5555

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

    LCM = 24 × 3 × 5 = 240

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    What is the LCM of 30 and 80?. The LCM of 30 and 80 is 240 — the smallest common multiple of both integers.
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    FAQ

    What's the Least Common Multiple (LCM) of 30 and 80?

    LCM of 30 and 80 is 240

    How to find the LCM of 30 and 80 using prime factorization?

    To find the LCM of 30 and 80, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 240.

    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 80: LCM = 240, GCF = 10.