What is the LCM of 72 and 96?

What's the Least Common Multiple (LCM) of 72 and 96?

Answer

LCM of 72 and 96 is

288

First common multiples: 288, 576, 864, …

288 is divisible by both: 288 ÷ 72 = 4, 288 ÷ 96 = 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/72 by 4 and of y/96 by 3.

72 = 2³ × 3²

96 = 2⁵ × 3

Prime	72	96	Highest power
2	2³	2⁵	2⁵
3	3²	3	3²

LCM = 2⁵ × 3² = 288

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What is the LCM of 72 and 96? The LCM of 72 and 96 is 288 — the smallest common multiple of both integers.

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LCM Table

Number 1	Number 2	LCM
72	81	648
72	82	2,952
72	83	5,976
72	84	504
72	85	6,120
72	86	3,096
72	87	2,088
72	88	792
72	89	6,408
72	90	360
72	91	6,552
72	92	1,656
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

LCM for 72 and 96

What's the Least Common Multiple (LCM) of 72 and 96?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 72 and 96?

How to find the LCM of 72 and 96 using prime factorization?

What is the difference between LCM and GCF?

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