What is the LCM of 54 and 72?

What's the Least Common Multiple (LCM) of 54 and 72?

Answer

LCM of 54 and 72 is

216

First common multiples: 216, 432, 648, …

216 is divisible by both: 216 ÷ 54 = 4, 216 ÷ 72 = 3 — and 4 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/54 by 4 and of y/72 by 3.

54 = 2 × 3³

72 = 2³ × 3²

Prime	54	72	Highest power
2	2	2³	2³
3	3³	3²	3³

LCM = 2³ × 3³ = 216

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What is the LCM of 54 and 72? The LCM of 54 and 72 is 216 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/54--72/generated.jpg

LCM Table

Number 1	Number 2	LCM
54	57	1,026
54	58	1,566
54	59	3,186
54	60	540
54	61	3,294
54	62	1,674
54	63	378
54	64	1,728
54	65	3,510
54	66	594
54	67	3,618
54	68	1,836
54	69	1,242
54	70	1,890
54	71	3,834
54	72	216
54	73	3,942
54	74	1,998
54	75	1,350
54	76	2,052
54	77	4,158
54	78	702
54	79	4,266
54	80	2,160
54	81	162
54	82	2,214
54	83	4,482
54	84	756
54	85	4,590
54	86	2,322

LCM for 54 and 72

What's the Least Common Multiple (LCM) of 54 and 72?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 54 and 72?

How to find the LCM of 54 and 72 using prime factorization?

What is the difference between LCM and GCF?

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