What is the Least Common Multiple of 36672 and 36684?

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 36672 and 36684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36672 and 36684, than apply into the LCM equation.

GCF(36672,36684) = 12
LCM(36672,36684) = ( 36672 × 36684) / 12
LCM(36672,36684) = 1345275648 / 12
LCM(36672,36684) = 112106304

Least Common Multiple (LCM) of 36672 and 36684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36672 and 36684. First we will calculate the prime factors of 36672 and 36684.

Prime Factorization of 36672

Prime Factorization of 36684

Now multiplying the highest exponent prime factors to calculate the LCM of 36672 and 36684.

LCM(36672,36684) = 2⁶ × 3² × 191¹ × 1019¹
LCM(36672,36684) = 112106304