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    LCM for 80 and 144

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 80 and 144?

    Answer

    LCM of 80 and 144 is
    720

    First common multiples: 720; 1,440; 2,160; …

    720 is divisible by both: 720 ÷ 80 = 9, 720 ÷ 144 = 5 — and 9 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/80 by 9 and of y/144 by 5.

    80 = 24 × 5

    144 = 24 × 32

    Prime80144Highest power
    2242424
    3—3232
    55—5

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

    LCM = 24 × 32 × 5 = 720

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    What is the LCM of 80 and 144? The LCM of 80 and 144 is 720 — the smallest common multiple of both integers.
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    FAQ

    What's the Least Common Multiple (LCM) of 80 and 144?

    LCM of 80 and 144 is 720

    How to find the LCM of 80 and 144 using prime factorization?

    To find the LCM of 80 and 144, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 720.

    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 80 and 144: LCM = 720, GCF = 16.