What is the Least Common Multiple of 57666 and 57676?

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 57666 and 57676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57666 and 57676, than apply into the LCM equation.

GCF(57666,57676) = 2
LCM(57666,57676) = ( 57666 × 57676) / 2
LCM(57666,57676) = 3325944216 / 2
LCM(57666,57676) = 1662972108

Least Common Multiple (LCM) of 57666 and 57676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57666 and 57676. First we will calculate the prime factors of 57666 and 57676.

Prime Factorization of 57666

Prime Factorization of 57676

Now multiplying the highest exponent prime factors to calculate the LCM of 57666 and 57676.

LCM(57666,57676) = 2² × 3¹ × 7¹ × 1373¹ × 14419¹
LCM(57666,57676) = 1662972108