GCF and LCM Calculator Logo

What is the Least Common Multiple of 57237 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 (LCM) of 57237 and 57250 is 3276818250.

LCM(57237,57250) = 3276818250

LCM Calculator and
and

Least Common Multiple of 57237 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 57237 and 57250, than apply into the LCM equation.

GCF(57237,57250) = 1
LCM(57237,57250) = ( 57237 × 57250) / 1
LCM(57237,57250) = 3276818250 / 1
LCM(57237,57250) = 3276818250

Least Common Multiple (LCM) of 57237 and 57250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57237 and 57250. First we will calculate the prime factors of 57237 and 57250.

Prime Factorization of 57237

Prime factors of 57237 are 3, 19079. Prime factorization of 57237 in exponential form is:

57237 = 31 × 190791

Prime Factorization of 57250

Prime factors of 57250 are 2, 5, 229. Prime factorization of 57250 in exponential form is:

57250 = 21 × 53 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 57237 and 57250.

LCM(57237,57250) = 31 × 190791 × 21 × 53 × 2291
LCM(57237,57250) = 3276818250