LCM for 42 and 100

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What's the Least Common Multiple (LCM) of 42 and 100?

Answer

LCM of 42 and 100 is
2,100

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

2,100 is divisible by both: 2,100 ÷ 42 = 50; 2,100 ÷ 100 = 21 — and 50 and 21 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/42 by 50 and of y/100 by 21.

42 = 2 × 3 × 7

100 = 22 × 52

Prime42100Highest power
222222
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
422884
4244924
4245630
4248336
4249294
42501,050
42521,092
42532,226
4256168
42581,218
4260420
4263126
42652,730
4270210
4272504
42801,680
428484
42861,806
4290630
4296672
4298294
421002,100
42105210
42126126
421,3652,730

FAQ

What's the Least Common Multiple (LCM) of 42 and 100?

LCM of 42 and 100 is 2,100

How to find the LCM of 42 and 100 using prime factorization?

To find the LCM of 42 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 42 and 100: LCM = 2,100, GCF = 2.

See Also