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    LCM for 70 and 1,365

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 70 and 1,365?

    Answer

    LCM of 70 and 1,365 is
    2,730

    First common multiples: 2,730; 5,460; 8,190; …

    2,730 is divisible by both: 2,730 ÷ 70 = 39; 2,730 ÷ 1,365 = 2 — and 39 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/70 by 39 and of y/1,365 by 2.

    70 = 2 × 5 × 7

    1,365 = 3 × 5 × 7 × 13

    Prime701,365Highest power
    22—2
    3—33
    5555
    7777
    13—1313

    — = 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 × 7 × 13 = 2,730

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    What is the LCM of 70 and 1,365?. The LCM of 70 and 1,365 is 2,730 — the smallest common multiple of both integers.
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    FAQ

    What's the Least Common Multiple (LCM) of 70 and 1,365?

    LCM of 70 and 1,365 is 2,730

    How to find the LCM of 70 and 1,365 using prime factorization?

    To find the LCM of 70 and 1,365, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,730.

    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 70 and 1,365: LCM = 2,730, GCF = 35.