What is the LCM of 72 and 108?

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

Prime	72	108	Highest power
2	2³	2²	2³
3	3²	3³	3³

LCM = 2³ × 3³ = 216

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What is the LCM of 72 and 108? The LCM of 72 and 108 is 216 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/72--108/generated.jpg

LCM Table

Number 1	Number 2	LCM
72	93	2,232
72	94	3,384
72	95	6,840
72	96	288
72	97	6,984
72	98	3,528
72	99	792
72	100	1,800
72	101	7,272
72	102	1,224
72	103	7,416
72	104	936
72	105	2,520
72	106	3,816
72	107	7,704
72	108	216
72	109	7,848
72	110	3,960
72	111	2,664
72	112	1,008
72	113	8,136
72	114	1,368
72	115	8,280
72	116	2,088
72	117	936
72	118	4,248
72	119	8,568
72	120	360
72	121	8,712
72	122	4,392

LCM for 72 and 108

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

More with these numbers

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LCM Table

FAQ

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

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

What is the difference between LCM and GCF?

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