What is the Least Common Multiple of 57234 and 57250?

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 57234 and 57250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57234 and 57250, than apply into the LCM equation.

GCF(57234,57250) = 2
LCM(57234,57250) = ( 57234 × 57250) / 2
LCM(57234,57250) = 3276646500 / 2
LCM(57234,57250) = 1638323250

Least Common Multiple (LCM) of 57234 and 57250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57234 and 57250. First we will calculate the prime factors of 57234 and 57250.

Prime Factorization of 57234

Prime Factorization of 57250

Now multiplying the highest exponent prime factors to calculate the LCM of 57234 and 57250.

LCM(57234,57250) = 2¹ × 3¹ × 9539¹ × 5³ × 229¹
LCM(57234,57250) = 1638323250