What is the LCM of 8 and 52?

What's the Least Common Multiple (LCM) of 8 and 52?

Answer

LCM of 8 and 52 is

104

First common multiples: 104, 208, 312, …

104 is divisible by both: 104 ÷ 8 = 13, 104 ÷ 52 = 2 — and 13 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/8 by 13 and of y/52 by 2.

8 = 2³

52 = 2² × 13

Prime	8	52	Highest power
2	2³	2²	2³
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 = 2³ × 13 = 104

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What is the LCM of 8 and 52? The LCM of 8 and 52 is 104 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/8--52/generated.jpg

LCM Table

Number 1	Number 2	LCM
8	27	216
8	28	56
8	30	120
8	32	32
8	33	264
8	35	280
8	36	72
8	40	40
8	41	328
8	43	344
8	44	88
8	45	360
8	46	184
8	48	48
8	49	392
8	51	408
8	52	104
8	55	440
8	57	456
8	58	232
8	60	120
8	63	504
8	64	64
8	72	72
8	80	80
8	90	360
8	96	96
8	100	200
8	120	120
8	1,000	1,000

LCM for 8 and 52

What's the Least Common Multiple (LCM) of 8 and 52?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 8 and 52?

How to find the LCM of 8 and 52 using prime factorization?

What is the difference between LCM and GCF?

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