What is the LCM of 96 and 144?

What's the Least Common Multiple (LCM) of 96 and 144?

Answer

LCM of 96 and 144 is

288

First common multiples: 288, 576, 864, …

288 is divisible by both: 288 ÷ 96 = 3, 288 ÷ 144 = 2 — and 3 and 2 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/144 by 2.

96 = 2⁵ × 3

144 = 2⁴ × 3²

Prime	96	144	Highest power
2	2⁵	2⁴	2⁵
3	3	3²	3²

LCM = 2⁵ × 3² = 288

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What is the LCM of 96 and 144? The LCM of 96 and 144 is 288 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/96--144/generated.jpg

LCM Table

Number 1	Number 2	LCM
96	129	4,128
96	130	6,240
96	131	12,576
96	132	1,056
96	133	12,768
96	134	6,432
96	135	4,320
96	136	1,632
96	137	13,152
96	138	2,208
96	139	13,344
96	140	3,360
96	141	4,512
96	142	6,816
96	143	13,728
96	144	288
96	145	13,920
96	146	7,008
96	147	4,704
96	148	3,552
96	149	14,304
96	150	2,400
96	151	14,496
96	152	1,824
96	153	4,896
96	154	7,392
96	155	14,880
96	156	1,248
96	157	15,072
96	158	7,584

LCM for 96 and 144

What's the Least Common Multiple (LCM) of 96 and 144?

More with these numbers

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 96 and 144?

How to find the LCM of 96 and 144 using prime factorization?

What is the difference between LCM and GCF?

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