What is the Least Common Multiple of 37224 and 37239?

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 37224 and 37239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37224 and 37239, than apply into the LCM equation.

GCF(37224,37239) = 3
LCM(37224,37239) = ( 37224 × 37239) / 3
LCM(37224,37239) = 1386184536 / 3
LCM(37224,37239) = 462061512

Least Common Multiple (LCM) of 37224 and 37239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37224 and 37239. First we will calculate the prime factors of 37224 and 37239.

Prime Factorization of 37224

Prime Factorization of 37239

Now multiplying the highest exponent prime factors to calculate the LCM of 37224 and 37239.

LCM(37224,37239) = 2³ × 3² × 11¹ × 47¹ × 12413¹
LCM(37224,37239) = 462061512