LCM for 84 and 112

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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

See Also

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