What is the Least Common Multiple of 39132 and 39147?

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 39132 and 39147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39132 and 39147, than apply into the LCM equation.

GCF(39132,39147) = 3
LCM(39132,39147) = ( 39132 × 39147) / 3
LCM(39132,39147) = 1531900404 / 3
LCM(39132,39147) = 510633468

Least Common Multiple (LCM) of 39132 and 39147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39132 and 39147. First we will calculate the prime factors of 39132 and 39147.

Prime Factorization of 39132

Prime Factorization of 39147

Now multiplying the highest exponent prime factors to calculate the LCM of 39132 and 39147.

LCM(39132,39147) = 2² × 3² × 1087¹ × 13049¹
LCM(39132,39147) = 510633468