What is the LCM of 24 and 57?

What's the Least Common Multiple (LCM) of 24 and 57?

Answer

LCM of 24 and 57 is

456

First common multiples: 456; 912; 1,368; …

456 is divisible by both: 456 ÷ 24 = 19, 456 ÷ 57 = 8 — and 19 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 19 and of y/57 by 8.

24 = 2³ × 3

57 = 3 × 19

Prime	24	57	Highest power
2	2³	—	2³
3	3	3	3
19	—	19	19

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2³ × 3 × 19 = 456

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What is the LCM of 24 and 57? The LCM of 24 and 57 is 456 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/24--57/generated.jpg

LCM Table

Number 1	Number 2	LCM
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
24	88	264
24	90	360
24	96	96
24	100	600
24	104	312
24	120	120
24	210	840
24	1,000	3,000

LCM for 24 and 57

What's the Least Common Multiple (LCM) of 24 and 57?

More with these numbers

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 24 and 57?

How to find the LCM of 24 and 57 using prime factorization?

What is the difference between LCM and GCF?

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