What is the Least Common Multiple of 37239 and 37248?

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 37239 and 37248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37239 and 37248, than apply into the LCM equation.

GCF(37239,37248) = 3
LCM(37239,37248) = ( 37239 × 37248) / 3
LCM(37239,37248) = 1387078272 / 3
LCM(37239,37248) = 462359424

Least Common Multiple (LCM) of 37239 and 37248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37239 and 37248. First we will calculate the prime factors of 37239 and 37248.

Prime Factorization of 37239

Prime Factorization of 37248

Now multiplying the highest exponent prime factors to calculate the LCM of 37239 and 37248.

LCM(37239,37248) = 3¹ × 12413¹ × 2⁷ × 97¹
LCM(37239,37248) = 462359424