What is the Least Common Multiple of 57872 and 57886?

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 57872 and 57886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57872 and 57886, than apply into the LCM equation.

GCF(57872,57886) = 2
LCM(57872,57886) = ( 57872 × 57886) / 2
LCM(57872,57886) = 3349978592 / 2
LCM(57872,57886) = 1674989296

Least Common Multiple (LCM) of 57872 and 57886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57872 and 57886. First we will calculate the prime factors of 57872 and 57886.

Prime Factorization of 57872

Prime Factorization of 57886

Now multiplying the highest exponent prime factors to calculate the LCM of 57872 and 57886.

LCM(57872,57886) = 2⁴ × 3617¹ × 103¹ × 281¹
LCM(57872,57886) = 1674989296