What is the Least Common Multiple of 117 and 137?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 117 and 137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 117 and 137, than apply into the LCM equation.

GCF(117,137) = 1
LCM(117,137) = ( 117 × 137) / 1
LCM(117,137) = 16029 / 1
LCM(117,137) = 16029

Least Common Multiple (LCM) of 117 and 137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 117 and 137. First we will calculate the prime factors of 117 and 137.

Prime Factorization of 117

Prime Factorization of 137

Now multiplying the highest exponent prime factors to calculate the LCM of 117 and 137.

LCM(117,137) = 3² × 13¹ × 137¹
LCM(117,137) = 16029