What is the Least Common Multiple of 57868 and 57872?

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 57868 and 57872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57868 and 57872, than apply into the LCM equation.

GCF(57868,57872) = 4
LCM(57868,57872) = ( 57868 × 57872) / 4
LCM(57868,57872) = 3348936896 / 4
LCM(57868,57872) = 837234224

Least Common Multiple (LCM) of 57868 and 57872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57868 and 57872. First we will calculate the prime factors of 57868 and 57872.

Prime Factorization of 57868

Prime Factorization of 57872

Now multiplying the highest exponent prime factors to calculate the LCM of 57868 and 57872.

LCM(57868,57872) = 2⁴ × 17¹ × 23¹ × 37¹ × 3617¹
LCM(57868,57872) = 837234224