LCM for 42 and 72

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What's the Least Common Multiple (LCM) of 42 and 72?

Answer

LCM of 42 and 72 is
504

First common multiples: 504; 1,008; 1,512; …

504 is divisible by both: 504 ÷ 42 = 12, 504 ÷ 72 = 7 — and 12 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/42 by 12 and of y/72 by 7.

42 = 2 × 3 × 7

72 = 23 × 32

Prime4272Highest power
222323
333232
77—7

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

LCM = 23 × 32 × 7 = 504

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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 72?

LCM of 42 and 72 is 504

How to find the LCM of 42 and 72 using prime factorization?

To find the LCM of 42 and 72, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 504.

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 72: LCM = 504, GCF = 6.

See Also