What is the Least Common Multiple of 39672 and 39688?

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 39672 and 39688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39672 and 39688, than apply into the LCM equation.

GCF(39672,39688) = 8
LCM(39672,39688) = ( 39672 × 39688) / 8
LCM(39672,39688) = 1574502336 / 8
LCM(39672,39688) = 196812792

Least Common Multiple (LCM) of 39672 and 39688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39672 and 39688. First we will calculate the prime factors of 39672 and 39688.

Prime Factorization of 39672

Prime Factorization of 39688

Now multiplying the highest exponent prime factors to calculate the LCM of 39672 and 39688.

LCM(39672,39688) = 2³ × 3² × 19¹ × 29¹ × 11² × 41¹
LCM(39672,39688) = 196812792