What is the LCM of 24 and 9?

What's the Least Common Multiple (LCM) of 24 and 9?

Answer

LCM of 24 and 9 is

72

First common multiples: 72, 144, 216, …

72 is divisible by both: 72 ÷ 24 = 3, 72 ÷ 9 = 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/24 by 3 and of y/9 by 8.

24 = 2³ × 3

9 = 3²

Prime	24	9	Highest power
2	2³	—	2³
3	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 = 2³ × 3² = 72

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What is the LCM of 24 and 9? The LCM of 24 and 9 is 72 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/24--9/generated.jpg

LCM Table

Number 1	Number 2	LCM
24	9	72
24	16	48
24	18	72
24	25	600
24	27	216
24	28	168
24	30	120
24	31	744
24	32	96
24	35	840
24	36	72
24	40	120
24	41	984
24	42	168
24	44	264
24	45	360
24	46	552
24	48	48
24	49	1,176
24	51	408
24	53	1,272
24	54	216
24	55	1,320
24	56	168
24	57	456
24	60	120
24	64	192
24	72	72
24	80	240
24	84	168

LCM for 24 and 9

What's the Least Common Multiple (LCM) of 24 and 9?

More with these numbers

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 24 and 9?

How to find the LCM of 24 and 9 using prime factorization?

What is the difference between LCM and GCF?

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