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    LCM for 120 and 210

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 120 and 210?

    Answer

    LCM of 120 and 210 is
    840

    First common multiples: 840; 1,680; 2,520; …

    840 is divisible by both: 840 ÷ 120 = 7, 840 ÷ 210 = 4 — and 7 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/120 by 7 and of y/210 by 4.

    120 = 23 × 3 × 5

    210 = 2 × 3 × 5 × 7

    Prime120210Highest power
    223223
    3333
    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 = 23 × 3 × 5 × 7 = 840

    More with these numbers

    See Also

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    What is the LCM of 120 and 210? The LCM of 120 and 210 is 840 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1201951,560
    1201965,880
    12019723,640
    1201983,960
    12019923,880
    120200600
    1202018,040
    12020212,120
    12020324,360
    1202042,040
    1202054,920
    12020612,360
    1202078,280
    1202083,120
    12020925,080
    120210840
    12021125,320
    1202126,360
    1202138,520
    12021412,840
    1202155,160
    1202161,080
    12021726,040
    12021813,080
    1202198,760
    1202201,320
    12022126,520
    1202224,440
    12022326,760
    1202243,360

    FAQ

    What's the Least Common Multiple (LCM) of 120 and 210?

    LCM of 120 and 210 is 840

    How to find the LCM of 120 and 210 using prime factorization?

    To find the LCM of 120 and 210, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 840.

    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 120 and 210: LCM = 840, GCF = 30.

    See Also