What is the Least Common Multiple of 36600 and 36615?

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 36600 and 36615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36600 and 36615, than apply into the LCM equation.

GCF(36600,36615) = 15
LCM(36600,36615) = ( 36600 × 36615) / 15
LCM(36600,36615) = 1340109000 / 15
LCM(36600,36615) = 89340600

Least Common Multiple (LCM) of 36600 and 36615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36600 and 36615. First we will calculate the prime factors of 36600 and 36615.

Prime Factorization of 36600

Prime Factorization of 36615

Now multiplying the highest exponent prime factors to calculate the LCM of 36600 and 36615.

LCM(36600,36615) = 2³ × 3¹ × 5² × 61¹ × 2441¹
LCM(36600,36615) = 89340600