What is the LCM of 32 and 72?

What's the Least Common Multiple (LCM) of 32 and 72?

Answer

LCM of 32 and 72 is

288

First common multiples: 288, 576, 864, …

288 is divisible by both: 288 ÷ 32 = 9, 288 ÷ 72 = 4 — and 9 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/32 by 9 and of y/72 by 4.

32 = 2⁵

72 = 2³ × 3²

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

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

LCM = 2⁵ × 3² = 288

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What is the LCM of 32 and 72? The LCM of 32 and 72 is 288 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/32--72/generated.jpg

LCM Table

Number 1	Number 2	LCM
32	36	288
32	37	1,184
32	38	608
32	39	1,248
32	40	160
32	42	672
32	45	1,440
32	47	1,504
32	48	96
32	49	1,568
32	53	1,696
32	54	864
32	56	224
32	58	928
32	59	1,888
32	60	480
32	72	288
32	80	160
32	81	2,592
32	84	672
32	90	1,440
32	96	96
32	128	128
32	176	352

LCM for 32 and 72

What's the Least Common Multiple (LCM) of 32 and 72?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 32 and 72?

How to find the LCM of 32 and 72 using prime factorization?

What is the difference between LCM and GCF?

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