LCM of 36 and 45

What is the LCM of 36 and 45? - The LCM of 36 and 45 is 180. Follow the step by step instructions on how to find the least common multiple of 36 and 45.

What is the least common multiple of 36 and 45?

How to find the lcm of 36 and 45?

To find the lcm of 36 and 45, we first need to find the multiples of 36 and 45 and then choose the least common multiple that are dividable by 36 and 45.

Multiples of 36 = 36, 72, 108, 144, 180
Multiples of 45 = 45, 90, 135, 180

The least common multiple of 36 and 45 is 180, because 180 is the smallest number that is divisible by both 36 and 45.

Another method to find the least common multiple of 36 and 45 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 36 and 45, and then get the LCM by multiplying the prime factors that are rasied to their highest power from the two sets.

Prime factorization of 36 = 2 x 2 x 3 x 3 = 2² x 3²
Prime factorization of 45 = 3 x 3 x 5 = 3² x 5
Prime factors to the highest power = 2² x 3² x 5 = 180