LCM for 36 and 42

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What's the Least Common Multiple (LCM) of 36 and 42?

Answer

LCM of 36 and 42 is
252

First common multiples: 252, 504, 756, …

252 is divisible by both: 252 ÷ 36 = 7, 252 ÷ 42 = 6 — and 7 and 6 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/36 by 7 and of y/42 by 6.

36 = 22 × 32

42 = 2 × 3 × 7

Prime3642Highest power
222222
332332
7—77

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

LCM = 22 × 32 × 7 = 252

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LCM Table

Number 1Number 2LCM
36336
361836
362472
3627108
3628252
3640360
3642252
36431,548
3644396
3645180
3646828
3648144
36491,764
3651612
3652468
36531,908
3654108
3656504
36581,044
3660180
3663252
3664576
3680720
3681324
3684252
3690180
36100900
361121,008
36120360
361214,356

FAQ

What's the Least Common Multiple (LCM) of 36 and 42?

LCM of 36 and 42 is 252

How to find the LCM of 36 and 42 using prime factorization?

To find the LCM of 36 and 42, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 252.

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 36 and 42: LCM = 252, GCF = 6.

See Also