LCM of 207 and 138

What is the LCM of 207 and 138? - The LCM of 207 and 138 is 414. Follow the step by step instructions on how to find the least common multiple of 207 and 138.

What is the least common multiple of 207 and 138?

How to find the lcm of 207 and 138?

To find the lcm of 207 and 138, we first need to find the multiples of 207 and 138 and then choose the least common multiple that are dividable by 207 and 138.

Multiples of 207 = 207, 414
Multiples of 138 = 138, 276, 414

The least common multiple of 207 and 138 is 414, because 414 is the smallest number that is divisible by both 207 and 138.

Another method to find the least common multiple of 207 and 138 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 207 and 138, and then get the LCM by multiplying the prime factors that are rasied to their highest power from the two sets.

Prime factorization of 207 = 3 x 3 x 23 = 3² x 23
Prime factorization of 138 = 2 x 3 x 23
Prime factors to the highest power = 2 x 23 x 3² = 414