LCM for 60 and 90

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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

Prime6090Highest power
222222
333232
5555

LCM = 22 × 32 × 5 = 180

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LCM Table

Number 1Number 2LCM
606060
6066660
6070420
6072360
6075300
6080240
6090180
60100300
60108540
60110660
601251,500
60132660
60135540
60140420
60150300
601551,860
60160480
601752,100
601852,220
601901,140
602152,580
60220660
602352,820
602452,940
602501,500
60260780
602753,300
60280840
602901,740
603151,260

FAQ

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

LCM of 60 and 90 is 180

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

To find the LCM of 60 and 90, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 180.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 60 and 90: LCM = 180, GCF = 30.

See Also