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    LCM for 80 and 205

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 80 and 205?

    Answer

    LCM of 80 and 205 is
    3,280

    First common multiples: 3,280; 6,560; 9,840; …

    3,280 is divisible by both: 3,280 ÷ 80 = 41; 3,280 ÷ 205 = 16 — and 41 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 41 and of y/205 by 16.

    80 = 24 × 5

    205 = 5 × 41

    Prime80205Highest power
    224—24
    5555
    41—4141

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

    LCM = 24 × 5 × 41 = 3,280

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    What is the LCM of 80 and 205? The LCM of 80 and 205 is 3,280 — the smallest common multiple of both integers.
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    FAQ

    What's the Least Common Multiple (LCM) of 80 and 205?

    LCM of 80 and 205 is 3,280

    How to find the LCM of 80 and 205 using prime factorization?

    To find the LCM of 80 and 205, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,280.

    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 205: LCM = 3,280, GCF = 5.