LCM for 72 and 108

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What's the Least Common Multiple (LCM) of 72 and 108?

Answer

LCM of 72 and 108 is
216

First common multiples: 216, 432, 648, …

216 is divisible by both: 216 ÷ 72 = 3, 216 ÷ 108 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/72 by 3 and of y/108 by 2.

72 = 23 × 32

108 = 22 × 33

Prime72108Highest power
2232223
3323333

LCM = 23 × 33 = 216

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
72932,232
72943,384
72956,840
7296288
72976,984
72983,528
7299792
721001,800
721017,272
721021,224
721037,416
72104936
721052,520
721063,816
721077,704
72108216
721097,848
721103,960
721112,664
721121,008
721138,136
721141,368
721158,280
721162,088
72117936
721184,248
721198,568
72120360
721218,712
721224,392

FAQ

What's the Least Common Multiple (LCM) of 72 and 108?

LCM of 72 and 108 is 216

How to find the LCM of 72 and 108 using prime factorization?

To find the LCM of 72 and 108, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 216.

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 72 and 108: LCM = 216, GCF = 36.

See Also