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    LCM for 180 and 420

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 180 and 420?

    Answer

    LCM of 180 and 420 is
    1,260

    First common multiples: 1,260; 2,520; 3,780; …

    1,260 is divisible by both: 1,260 ÷ 180 = 7; 1,260 ÷ 420 = 3 — and 7 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/180 by 7 and of y/420 by 3.

    180 = 22 × 32 × 5

    420 = 22 × 3 × 5 × 7

    Prime180420Highest power
    2222222
    332332
    5555
    7—77

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

    LCM = 22 × 32 × 5 × 7 = 1,260

    More with these numbers

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    What is the LCM of 180 and 420? The LCM of 180 and 420 is 1,260 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1804051,620
    18040636,540
    18040773,260
    1804086,120
    18040973,620
    1804107,380
    18041124,660
    18041218,540
    18041374,340
    1804144,140
    18041514,940
    18041618,720
    18041725,020
    18041837,620
    18041975,420
    1804201,260
    18042175,780
    18042237,980
    1804238,460
    18042419,080
    18042515,300
    18042612,780
    18042776,860
    18042819,260
    18042925,740
    1804307,740
    18043177,580
    1804322,160
    18043377,940
    18043439,060

    FAQ

    What's the Least Common Multiple (LCM) of 180 and 420?

    LCM of 180 and 420 is 1,260

    How to find the LCM of 180 and 420 using prime factorization?

    To find the LCM of 180 and 420, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,260.

    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 180 and 420: LCM = 1,260, GCF = 60.

    See Also