What is the Least Common Multiple of 12546 and 12564?

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 12546 and 12564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12546 and 12564, than apply into the LCM equation.

GCF(12546,12564) = 18
LCM(12546,12564) = ( 12546 × 12564) / 18
LCM(12546,12564) = 157627944 / 18
LCM(12546,12564) = 8757108

Least Common Multiple (LCM) of 12546 and 12564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12546 and 12564. First we will calculate the prime factors of 12546 and 12564.

Prime Factorization of 12546

Prime Factorization of 12564

Now multiplying the highest exponent prime factors to calculate the LCM of 12546 and 12564.

LCM(12546,12564) = 2² × 3² × 17¹ × 41¹ × 349¹
LCM(12546,12564) = 8757108