What is the LCM of 9 and 48?

What's the Least Common Multiple (LCM) of 9 and 48?

Answer

LCM of 9 and 48 is

144

First common multiples: 144, 288, 432, …

144 is divisible by both: 144 ÷ 9 = 16, 144 ÷ 48 = 3 — and 16 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/9 by 16 and of y/48 by 3.

9 = 3²

48 = 2⁴ × 3

Prime	9	48	Highest power
2	—	2⁴	2⁴
3	3²	3	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 9 and 48?. The LCM of 9 and 48 is 144 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/9--48/generated.jpg

LCM Table

Number 1	Number 2	LCM
9	21	63
9	22	198
9	24	72
9	25	225
9	27	27
9	28	252
9	29	261
9	30	90
9	32	288
9	33	99
9	35	315
9	36	36
9	38	342
9	39	117
9	40	360
9	41	369
9	43	387
9	44	396
9	45	45
9	46	414
9	48	144
9	50	450
9	51	153
9	52	468
9	57	171
9	59	531
9	63	63
9	100	900
9	121	1,089
9	132	396

LCM for 9 and 48

What's the Least Common Multiple (LCM) of 9 and 48?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 9 and 48?

How to find the LCM of 9 and 48 using prime factorization?

What is the difference between LCM and GCF?

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