What is the LCM of 36 and 162?

What's the Least Common Multiple (LCM) of 36 and 162?

Answer

LCM of 36 and 162 is

324

First common multiples: 324, 648, 972, …

324 is divisible by both: 324 ÷ 36 = 9, 324 ÷ 162 = 2 — and 9 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/36 by 9 and of y/162 by 2.

36 = 2² × 3²

162 = 2 × 3⁴

Prime	36	162	Highest power
2	2²	2	2²
3	3²	3⁴	3⁴

LCM = 2² × 3⁴ = 324

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What is the LCM of 36 and 162? The LCM of 36 and 162 is 324 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/36--162/generated.jpg

LCM Table

Number 1	Number 2	LCM
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
36	144	144
36	162	324
36	900	900

LCM for 36 and 162

What's the Least Common Multiple (LCM) of 36 and 162?

More with these numbers

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 36 and 162?

How to find the LCM of 36 and 162 using prime factorization?

What is the difference between LCM and GCF?

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