What is the Least Common Multiple of 15564 and 15570?

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 15564 and 15570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15564 and 15570, than apply into the LCM equation.

GCF(15564,15570) = 6
LCM(15564,15570) = ( 15564 × 15570) / 6
LCM(15564,15570) = 242331480 / 6
LCM(15564,15570) = 40388580

Least Common Multiple (LCM) of 15564 and 15570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15564 and 15570. First we will calculate the prime factors of 15564 and 15570.

Prime Factorization of 15564

Prime Factorization of 15570

Now multiplying the highest exponent prime factors to calculate the LCM of 15564 and 15570.

LCM(15564,15570) = 2² × 3² × 1297¹ × 5¹ × 173¹
LCM(15564,15570) = 40388580