What is the LCM of 48 and 52?

What's the Least Common Multiple (LCM) of 48 and 52?

Answer

LCM of 48 and 52 is

624

First common multiples: 624; 1,248; 1,872; …

624 is divisible by both: 624 ÷ 48 = 13, 624 ÷ 52 = 12 — and 13 and 12 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/48 by 13 and of y/52 by 12.

48 = 2⁴ × 3

52 = 2² × 13

Prime	48	52	Highest power
2	2⁴	2²	2⁴
3	3	—	3
13	—	13	13

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

LCM = 2⁴ × 3 × 13 = 624

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What is the LCM of 48 and 52? The LCM of 48 and 52 is 624 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/48--52/generated.jpg

LCM Table

Number 1	Number 2	LCM
48	12	48
48	32	96
48	36	144
48	50	1,200
48	52	624
48	54	432
48	56	336
48	57	912
48	58	1,392
48	60	240
48	66	528
48	72	144
48	75	1,200
48	80	240
48	81	1,296
48	84	336
48	90	720
48	96	96
48	99	1,584
48	100	1,200
48	120	240
48	128	384
48	168	336
48	450	3,600

LCM for 48 and 52

What's the Least Common Multiple (LCM) of 48 and 52?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 48 and 52?

How to find the LCM of 48 and 52 using prime factorization?

What is the difference between LCM and GCF?

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