What is the Least Common Multiple of 12564 and 12570?

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 12564 and 12570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12564 and 12570, than apply into the LCM equation.

GCF(12564,12570) = 6
LCM(12564,12570) = ( 12564 × 12570) / 6
LCM(12564,12570) = 157929480 / 6
LCM(12564,12570) = 26321580

Least Common Multiple (LCM) of 12564 and 12570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12564 and 12570. First we will calculate the prime factors of 12564 and 12570.

Prime Factorization of 12564

Prime Factorization of 12570

Now multiplying the highest exponent prime factors to calculate the LCM of 12564 and 12570.

LCM(12564,12570) = 2² × 3² × 349¹ × 5¹ × 419¹
LCM(12564,12570) = 26321580