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    LCM for 120 and 160

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 120 and 160?

    Answer

    LCM of 120 and 160 is
    480

    First common multiples: 480; 960; 1,440; …

    480 is divisible by both: 480 ÷ 120 = 4, 480 ÷ 160 = 3 — and 4 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/120 by 4 and of y/160 by 3.

    120 = 23 × 3 × 5

    160 = 25 × 5

    Prime120160Highest power
    2232525
    33—3
    5555

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

    LCM = 25 × 3 × 5 = 480

    More with these numbers

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    What is the LCM of 120 and 160? The LCM of 120 and 160 is 480 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    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
    1201651,320
    1201669,960
    12016720,040
    120168840
    12016920,280
    1201702,040
    1201716,840
    1201725,160
    12017320,760
    1201743,480

    FAQ

    What's the Least Common Multiple (LCM) of 120 and 160?

    LCM of 120 and 160 is 480

    How to find the LCM of 120 and 160 using prime factorization?

    To find the LCM of 120 and 160, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 480.

    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 160: LCM = 480, GCF = 40.

    See Also