LCM for 84 and 100

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What's the Least Common Multiple (LCM) of 84 and 100?

Answer

LCM of 84 and 100 is
2,100

First common multiples: 2,100; 4,200; 6,300; …

2,100 is divisible by both: 2,100 ÷ 84 = 25; 2,100 ÷ 100 = 21 — and 25 and 21 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/84 by 25 and of y/100 by 21.

84 = 22 × 3 × 7

100 = 22 × 52

Prime84100Highest power
2222222
33—3
5—5252
77—7

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

LCM = 22 × 3 × 52 × 7 = 2,100

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LCM Table

Number 1Number 2LCM
84857,140
84863,612
84872,436
84881,848
84897,476
84901,260
84911,092
84921,932
84932,604
84943,948
84957,980
8496672
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

FAQ

What's the Least Common Multiple (LCM) of 84 and 100?

LCM of 84 and 100 is 2,100

How to find the LCM of 84 and 100 using prime factorization?

To find the LCM of 84 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,100.

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 100: LCM = 2,100, GCF = 4.

See Also