LCM for 45 and 135

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 45 and 135?

Answer

LCM of 45 and 135 is
135

First common multiples: 135, 270, 405, …

As a common denominator: multiply the top and bottom of x/45 by 3.

45 divides 135 (135 ÷ 45 = 3), so the LCM is the larger number itself.

45 = 32 × 5

135 = 33 × 5

Prime45135Highest power
3323333
5555

LCM = 33 × 5 = 135

See Also

FAQ

What's the Least Common Multiple (LCM) of 45 and 135?

LCM of 45 and 135 is 135

How to find the LCM of 45 and 135 using prime factorization?

To find the LCM of 45 and 135, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 135.

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