What is the Least Common Multiple of 39564 and 39572?

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 39564 and 39572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39564 and 39572, than apply into the LCM equation.

GCF(39564,39572) = 4
LCM(39564,39572) = ( 39564 × 39572) / 4
LCM(39564,39572) = 1565626608 / 4
LCM(39564,39572) = 391406652

Least Common Multiple (LCM) of 39564 and 39572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39564 and 39572. First we will calculate the prime factors of 39564 and 39572.

Prime Factorization of 39564

Prime Factorization of 39572

Now multiplying the highest exponent prime factors to calculate the LCM of 39564 and 39572.

LCM(39564,39572) = 2² × 3² × 7¹ × 157¹ × 13¹ × 761¹
LCM(39564,39572) = 391406652