What is the Least Common Multiple of 37032 and 37047?

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 37032 and 37047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37032 and 37047, than apply into the LCM equation.

GCF(37032,37047) = 3
LCM(37032,37047) = ( 37032 × 37047) / 3
LCM(37032,37047) = 1371924504 / 3
LCM(37032,37047) = 457308168

Least Common Multiple (LCM) of 37032 and 37047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37032 and 37047. First we will calculate the prime factors of 37032 and 37047.

Prime Factorization of 37032

Prime Factorization of 37047

Now multiplying the highest exponent prime factors to calculate the LCM of 37032 and 37047.

LCM(37032,37047) = 2³ × 3¹ × 1543¹ × 53¹ × 233¹
LCM(37032,37047) = 457308168