What is the Least Common Multiple of 13032 and 13047?

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 13032 and 13047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13032 and 13047, than apply into the LCM equation.

GCF(13032,13047) = 3
LCM(13032,13047) = ( 13032 × 13047) / 3
LCM(13032,13047) = 170028504 / 3
LCM(13032,13047) = 56676168

Least Common Multiple (LCM) of 13032 and 13047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13032 and 13047. First we will calculate the prime factors of 13032 and 13047.

Prime Factorization of 13032

Prime Factorization of 13047

Now multiplying the highest exponent prime factors to calculate the LCM of 13032 and 13047.

LCM(13032,13047) = 2³ × 3² × 181¹ × 4349¹
LCM(13032,13047) = 56676168