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    LCM for 210 and 180

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 210 and 180?

    Answer

    LCM of 210 and 180 is
    1,260

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

    1,260 is divisible by both: 1,260 ÷ 210 = 6; 1,260 ÷ 180 = 7 — and 6 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/210 by 6 and of y/180 by 7.

    210 = 2 × 3 × 5 × 7

    180 = 22 × 32 × 5

    Prime210180Highest power
    222222
    333232
    5555
    77—7

    — = 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

    See Also

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    What is the LCM of 210 and 180? The LCM of 210 and 180 is 1,260 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    2101652,310
    21016617,430
    21016735,070
    210168840
    21016935,490
    2101703,570
    21017111,970
    21017218,060
    21017336,330
    2101746,090
    2101751,050
    21017618,480
    21017712,390
    21017818,690
    21017937,590
    2101801,260
    21018138,010
    2101822,730
    21018312,810
    21018419,320
    2101857,770
    2101866,510
    21018739,270
    21018819,740
    2101891,890
    2101903,990
    21019140,110
    2101926,720
    21019340,530
    21019420,370

    FAQ

    What's the Least Common Multiple (LCM) of 210 and 180?

    LCM of 210 and 180 is 1,260

    How to find the LCM of 210 and 180 using prime factorization?

    To find the LCM of 210 and 180, 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 210 and 180: LCM = 1,260, GCF = 30.

    See Also