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    LCM for 120 and 150

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 120 and 150?

    Answer

    LCM of 120 and 150 is
    600

    First common multiples: 600; 1,200; 1,800; …

    600 is divisible by both: 600 ÷ 120 = 5, 600 ÷ 150 = 4 — and 5 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 5 and of y/150 by 4.

    120 = 23 × 3 × 5

    150 = 2 × 3 × 52

    Prime120150Highest power
    223223
    3333
    555252

    LCM = 23 × 3 × 52 = 600

    More with these numbers

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    What is the LCM of 120 and 150? The LCM of 120 and 150 is 600 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1201351,080
    1201362,040
    12013716,440
    1201382,760
    12013916,680
    120140840
    1201415,640
    1201428,520
    12014317,160
    120144720
    1201453,480
    1201468,760
    1201475,880
    1201484,440
    12014917,880
    120150600
    12015118,120
    1201522,280
    1201536,120
    1201549,240
    1201553,720
    1201561,560
    12015718,840
    1201589,480
    1201596,360
    120160480
    12016119,320
    1201623,240
    12016319,560
    1201644,920

    FAQ

    What's the Least Common Multiple (LCM) of 120 and 150?

    LCM of 120 and 150 is 600

    How to find the LCM of 120 and 150 using prime factorization?

    To find the LCM of 120 and 150, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 600.

    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 150: LCM = 600, GCF = 30.

    See Also