What is the Least Common Multiple of 39384 and 39404?

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 39384 and 39404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39384 and 39404, than apply into the LCM equation.

GCF(39384,39404) = 4
LCM(39384,39404) = ( 39384 × 39404) / 4
LCM(39384,39404) = 1551887136 / 4
LCM(39384,39404) = 387971784

Least Common Multiple (LCM) of 39384 and 39404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39384 and 39404. First we will calculate the prime factors of 39384 and 39404.

Prime Factorization of 39384

Prime Factorization of 39404

Now multiplying the highest exponent prime factors to calculate the LCM of 39384 and 39404.

LCM(39384,39404) = 2³ × 3² × 547¹ × 9851¹
LCM(39384,39404) = 387971784