What is the LCM of 16 and 72?

What's the Least Common Multiple (LCM) of 16 and 72?

Answer

LCM of 16 and 72 is

144

First common multiples: 144, 288, 432, …

144 is divisible by both: 144 ÷ 16 = 9, 144 ÷ 72 = 2 — and 9 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/16 by 9 and of y/72 by 2.

16 = 2⁴

72 = 2³ × 3²

Prime	16	72	Highest power
2	2⁴	2³	2⁴
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 = 2⁴ × 3² = 144

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What is the LCM of 16 and 72? The LCM of 16 and 72 is 144 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/16--72/generated.jpg

LCM Table

Number 1	Number 2	LCM
16	34	272
16	35	560
16	36	144
16	38	304
16	39	624
16	40	80
16	42	336
16	43	688
16	44	176
16	45	720
16	46	368
16	48	48
16	51	816
16	55	880
16	56	112
16	57	912
16	58	464
16	59	944
16	64	64
16	72	144
16	80	80
16	81	1,296
16	84	336
16	90	720
16	96	96
16	100	400
16	112	112
16	120	240
16	121	1,936
16	128	128

LCM for 16 and 72

What's the Least Common Multiple (LCM) of 16 and 72?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 16 and 72?

How to find the LCM of 16 and 72 using prime factorization?

What is the difference between LCM and GCF?

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