LCM for 135 and 180

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What's the Least Common Multiple (LCM) of 135 and 180?

Answer

LCM of 135 and 180 is
540

First common multiples: 540; 1,080; 1,620; …

540 is divisible by both: 540 ÷ 135 = 4, 540 ÷ 180 = 3 — and 4 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/135 by 4 and of y/180 by 3.

135 = 33 × 5

180 = 22 × 32 × 5

Prime135180Highest power
2—2222
3333233
5555

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 22 × 33 × 5 = 540

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
1351651,485
13516622,410
13516722,545
1351687,560
13516922,815
1351704,590
1351712,565
13517223,220
13517323,355
1351747,830
1351754,725
13517623,760
1351777,965
13517824,030
13517924,165
135180540
13518124,435
13518224,570
1351838,235
13518424,840
1351854,995
1351868,370
13518725,245
13518825,380
135189945
1351905,130
13519125,785
1351928,640
13519326,055
13519426,190

FAQ

What's the Least Common Multiple (LCM) of 135 and 180?

LCM of 135 and 180 is 540

How to find the LCM of 135 and 180 using prime factorization?

To find the LCM of 135 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 540.

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 135 and 180: LCM = 540, GCF = 45.

See Also