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    LCM for 112 and 144

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 112 and 144?

    Answer

    LCM of 112 and 144 is
    1,008

    First common multiples: 1,008; 2,016; 3,024; …

    1,008 is divisible by both: 1,008 ÷ 112 = 9; 1,008 ÷ 144 = 7 — and 9 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/112 by 9 and of y/144 by 7.

    112 = 24 × 7

    144 = 24 × 32

    Prime112144Highest power
    2242424
    3—3232
    77—7

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

    LCM = 24 × 32 × 7 = 1,008

    More with these numbers

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    What is the LCM of 112 and 144? The LCM of 112 and 144 is 1,008 — the smallest common multiple of both integers.
    https://calculat.io/en/number/least-common-multiple-lcm-of/112--144/generated.jpgCopy

    LCM Table

    Number 1Number 2LCM
    11212914,448
    1121307,280
    11213114,672
    1121323,696
    1121332,128
    1121347,504
    11213515,120
    1121361,904
    11213715,344
    1121387,728
    11213915,568
    112140560
    11214115,792
    1121427,952
    11214316,016
    1121441,008
    11214516,240
    1121468,176
    1121472,352
    1121484,144
    11214916,688
    1121508,400
    11215116,912
    1121522,128
    11215317,136
    1121541,232
    11215517,360
    1121564,368
    11215717,584
    1121588,848

    FAQ

    What's the Least Common Multiple (LCM) of 112 and 144?

    LCM of 112 and 144 is 1,008

    How to find the LCM of 112 and 144 using prime factorization?

    To find the LCM of 112 and 144, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,008.

    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 112 and 144: LCM = 1,008, GCF = 16.

    See Also