What is the Least Common Multiple of 12564 and 12578?

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 12578 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 12578, than apply into the LCM equation.

GCF(12564,12578) = 2
LCM(12564,12578) = ( 12564 × 12578) / 2
LCM(12564,12578) = 158029992 / 2
LCM(12564,12578) = 79014996

Least Common Multiple (LCM) of 12564 and 12578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12564 and 12578. First we will calculate the prime factors of 12564 and 12578.

Prime Factorization of 12564

Prime Factorization of 12578

Now multiplying the highest exponent prime factors to calculate the LCM of 12564 and 12578.

LCM(12564,12578) = 2² × 3² × 349¹ × 19¹ × 331¹
LCM(12564,12578) = 79014996