What is the LCM of 60 and 90?

What's the Least Common Multiple (LCM) of 60 and 90?

Answer

LCM of 60 and 90 is

180

First common multiples: 180, 360, 540, …

180 is divisible by both: 180 ÷ 60 = 3, 180 ÷ 90 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/60 by 3 and of y/90 by 2.

60 = 2² × 3 × 5

90 = 2 × 3² × 5

Prime	60	90	Highest power
2	2²	2	2²
3	3	3²	3²
5	5	5	5

LCM = 2² × 3² × 5 = 180

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What is the LCM of 60 and 90?. The LCM of 60 and 90 is 180 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/60--90/generated.jpg

LCM Table

Number 1	Number 2	LCM
60	60	60
60	66	660
60	70	420
60	72	360
60	75	300
60	80	240
60	90	180
60	100	300
60	108	540
60	110	660
60	125	1,500
60	132	660
60	135	540
60	140	420
60	150	300
60	155	1,860
60	160	480
60	175	2,100
60	185	2,220
60	190	1,140
60	215	2,580
60	220	660
60	235	2,820
60	245	2,940
60	250	1,500
60	260	780
60	275	3,300
60	280	840
60	290	1,740
60	315	1,260

LCM for 60 and 90

What's the Least Common Multiple (LCM) of 60 and 90?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 60 and 90?

How to find the LCM of 60 and 90 using prime factorization?

What is the difference between LCM and GCF?

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