What is the Least Common Multiple of 36672 and 36687?

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 36687 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 36687, than apply into the LCM equation.

GCF(36672,36687) = 3
LCM(36672,36687) = ( 36672 × 36687) / 3
LCM(36672,36687) = 1345385664 / 3
LCM(36672,36687) = 448461888

Least Common Multiple (LCM) of 36672 and 36687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36672 and 36687. First we will calculate the prime factors of 36672 and 36687.

Prime Factorization of 36672

Prime Factorization of 36687

Now multiplying the highest exponent prime factors to calculate the LCM of 36672 and 36687.

LCM(36672,36687) = 2⁶ × 3¹ × 191¹ × 7¹ × 1747¹
LCM(36672,36687) = 448461888