What is the LCM of 36 and 52?

What's the Least Common Multiple (LCM) of 36 and 52?

Answer

LCM of 36 and 52 is

468

First common multiples: 468; 936; 1,404; …

468 is divisible by both: 468 ÷ 36 = 13, 468 ÷ 52 = 9 — and 13 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/36 by 13 and of y/52 by 9.

36 = 2² × 3²

52 = 2² × 13

Prime	36	52	Highest power
2	2²	2²	2²
3	3²	—	3²
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 = 2² × 3² × 13 = 468

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What is the LCM of 36 and 52?. The LCM of 36 and 52 is 468 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/36--52/generated.jpg

LCM Table

Number 1	Number 2	LCM
36	3	36
36	18	36
36	24	72
36	27	108
36	28	252
36	40	360
36	42	252
36	43	1,548
36	44	396
36	45	180
36	46	828
36	48	144
36	49	1,764
36	51	612
36	52	468
36	53	1,908
36	54	108
36	56	504
36	58	1,044
36	60	180
36	63	252
36	64	576
36	80	720
36	81	324
36	84	252
36	90	180
36	100	900
36	112	1,008
36	120	360
36	121	4,356

LCM for 36 and 52

What's the Least Common Multiple (LCM) of 36 and 52?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 36 and 52?

How to find the LCM of 36 and 52 using prime factorization?

What is the difference between LCM and GCF?

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