What is the LCM of 96 and 36?

What's the Least Common Multiple (LCM) of 96 and 36?

Answer

LCM of 96 and 36 is

288

First common multiples: 288, 576, 864, …

288 is divisible by both: 288 ÷ 96 = 3, 288 ÷ 36 = 8 — and 3 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/96 by 3 and of y/36 by 8.

96 = 2⁵ × 3

36 = 2² × 3²

Prime	96	36	Highest power
2	2⁵	2²	2⁵
3	3	3²	3²

LCM = 2⁵ × 3² = 288

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What is the LCM of 96 and 36? The LCM of 96 and 36 is 288 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/96--36/generated.jpg

LCM Table

Number 1	Number 2	LCM
96	21	672
96	22	1,056
96	23	2,208
96	24	96
96	25	2,400
96	26	1,248
96	27	864
96	28	672
96	29	2,784
96	30	480
96	31	2,976
96	32	96
96	33	1,056
96	34	1,632
96	35	3,360
96	36	288
96	37	3,552
96	38	1,824
96	39	1,248
96	40	480
96	41	3,936
96	42	672
96	43	4,128
96	44	1,056
96	45	1,440
96	46	2,208
96	47	4,512
96	48	96
96	49	4,704
96	50	2,400

LCM for 96 and 36

What's the Least Common Multiple (LCM) of 96 and 36?

More with these numbers

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 96 and 36?

How to find the LCM of 96 and 36 using prime factorization?

What is the difference between LCM and GCF?

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