What is the Least Common Multiple of 57231 and 57237?

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 57231 and 57237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57231 and 57237, than apply into the LCM equation.

GCF(57231,57237) = 3
LCM(57231,57237) = ( 57231 × 57237) / 3
LCM(57231,57237) = 3275730747 / 3
LCM(57231,57237) = 1091910249

Least Common Multiple (LCM) of 57231 and 57237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57231 and 57237. First we will calculate the prime factors of 57231 and 57237.

Prime Factorization of 57231

Prime Factorization of 57237

Now multiplying the highest exponent prime factors to calculate the LCM of 57231 and 57237.

LCM(57231,57237) = 3² × 6359¹ × 19079¹
LCM(57231,57237) = 1091910249