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    LCM for 80 and 405

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 80 and 405?

    Answer

    LCM of 80 and 405 is
    6,480

    First common multiples: 6,480; 12,960; 19,440; …

    6,480 is divisible by both: 6,480 ÷ 80 = 81; 6,480 ÷ 405 = 16 — and 81 and 16 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/80 by 81 and of y/405 by 16.

    80 = 24 × 5

    405 = 34 × 5

    Prime80405Highest power
    224—24
    3—3434
    5555

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

    LCM = 24 × 34 × 5 = 6,480

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    What is the LCM of 80 and 405? The LCM of 80 and 405 is 6,480 — the smallest common multiple of both integers.
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    FAQ

    What's the Least Common Multiple (LCM) of 80 and 405?

    LCM of 80 and 405 is 6,480

    How to find the LCM of 80 and 405 using prime factorization?

    To find the LCM of 80 and 405, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 6,480.

    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 405: LCM = 6,480, GCF = 5.