What is the least common multiple of 13 and 117?

Answer 1

Since 13 is a factor of 117, the least common multiple is 117.

13 x 9 = 117

117 x 1 = 117

Another way to determine the least common multiple is to multiply both numbers and divide by their greatest common factor. The greatest common factor of 13 and 117 is 13, so the least common multiple is 13 x 117 ÷ 13 = 117.

Another way to determine the least common multiple is to determine the prime factors of the numbers and take the highest power of each prime factor.

The prime factors of 13 are 13.

The prime factors of 117 are 32 and 13.

The highest power of 3 is 32 and the highest power of 13 is 131. Therefore, the least common multiple of 13 and 117 is 32 x 131 = 9 x 13 = 117.