What is the Least Common Multiple of 36957 and 36964?

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 36957 and 36964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36957 and 36964, than apply into the LCM equation.

GCF(36957,36964) = 1
LCM(36957,36964) = ( 36957 × 36964) / 1
LCM(36957,36964) = 1366078548 / 1
LCM(36957,36964) = 1366078548

Least Common Multiple (LCM) of 36957 and 36964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36957 and 36964. First we will calculate the prime factors of 36957 and 36964.

Prime Factorization of 36957

Prime Factorization of 36964

Now multiplying the highest exponent prime factors to calculate the LCM of 36957 and 36964.

LCM(36957,36964) = 3¹ × 97¹ × 127¹ × 2² × 9241¹
LCM(36957,36964) = 1366078548