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    LCM for 84 and 112

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 84 and 112?

    Answer

    LCM of 84 and 112 is
    336

    First common multiples: 336; 672; 1,008; …

    336 is divisible by both: 336 ÷ 84 = 4, 336 ÷ 112 = 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/84 by 4 and of y/112 by 3.

    84 = 22 × 3 × 7

    112 = 24 × 7

    Prime84112Highest power
    2222424
    33—3
    7777

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

    LCM = 24 × 3 × 7 = 336

    More with these numbers

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    What is the LCM of 84 and 112? The LCM of 84 and 112 is 336 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    84978,148
    8498588
    84992,772
    841002,100
    841018,484
    841021,428
    841038,652
    841042,184
    84105420
    841064,452
    841078,988
    84108756
    841099,156
    841104,620
    841113,108
    84112336
    841139,492
    841141,596
    841159,660
    841162,436
    841173,276
    841184,956
    841191,428
    84120840
    8412110,164
    841225,124
    841233,444
    841242,604
    8412510,500
    84126252

    FAQ

    What's the Least Common Multiple (LCM) of 84 and 112?

    LCM of 84 and 112 is 336

    How to find the LCM of 84 and 112 using prime factorization?

    To find the LCM of 84 and 112, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 336.

    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 84 and 112: LCM = 336, GCF = 28.

    See Also