What is the Least Common Multiple of 57219 and 57231?

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 57219 and 57231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57219 and 57231, than apply into the LCM equation.

GCF(57219,57231) = 3
LCM(57219,57231) = ( 57219 × 57231) / 3
LCM(57219,57231) = 3274700589 / 3
LCM(57219,57231) = 1091566863

Least Common Multiple (LCM) of 57219 and 57231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57219 and 57231. First we will calculate the prime factors of 57219 and 57231.

Prime Factorization of 57219

Prime Factorization of 57231

Now multiplying the highest exponent prime factors to calculate the LCM of 57219 and 57231.

LCM(57219,57231) = 3² × 19073¹ × 6359¹
LCM(57219,57231) = 1091566863