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    LCM for 70 and 400

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 70 and 400?

    Answer

    LCM of 70 and 400 is
    2,800

    First common multiples: 2,800; 5,600; 8,400; …

    2,800 is divisible by both: 2,800 ÷ 70 = 40; 2,800 ÷ 400 = 7 — and 40 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/70 by 40 and of y/400 by 7.

    70 = 2 × 5 × 7

    400 = 24 × 52

    Prime70400Highest power
    222424
    555252
    77—7

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

    LCM = 24 × 52 × 7 = 2,800

    More with these numbers

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    What is the LCM of 70 and 400?. The LCM of 70 and 400 is 2,800 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    702153,010
    702301,610
    702401,680
    70245490
    702653,710
    702701,890
    702753,850
    702902,030
    702954,130
    703054,270
    703102,170
    703202,240
    703302,310
    703354,690
    70350350
    703602,520
    703655,110
    70385770
    703955,530
    704002,800
    70420420
    704303,010
    704356,090
    704503,150
    70455910
    704656,510
    704803,360
    704856,790
    705003,500
    701,3652,730

    FAQ

    What's the Least Common Multiple (LCM) of 70 and 400?

    LCM of 70 and 400 is 2,800

    How to find the LCM of 70 and 400 using prime factorization?

    To find the LCM of 70 and 400, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,800.

    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 400: LCM = 2,800, GCF = 10.

    See Also