LCM for 135 and 165

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What's the Least Common Multiple (LCM) of 135 and 165?

Answer

LCM of 135 and 165 is
1,485

First common multiples: 1,485; 2,970; 4,455; …

1,485 is divisible by both: 1,485 ÷ 135 = 11; 1,485 ÷ 165 = 9 — and 11 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/135 by 11 and of y/165 by 9.

135 = 33 × 5

165 = 3 × 5 × 11

Prime135165Highest power
333333
5555
11—1111

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

LCM = 33 × 5 × 11 = 1,485

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LCM Table

Number 1Number 2LCM
1351501,350
13515120,385
13515220,520
1351532,295
13515420,790
1351554,185
1351567,020
13515721,195
13515821,330
1351597,155
1351604,320
13516121,735
135162810
13516322,005
13516422,140
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

FAQ

What's the Least Common Multiple (LCM) of 135 and 165?

LCM of 135 and 165 is 1,485

How to find the LCM of 135 and 165 using prime factorization?

To find the LCM of 135 and 165, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,485.

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 165: LCM = 1,485, GCF = 15.

See Also