What is the Least Common Multiple of 57657 and 57672?

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 57657 and 57672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57657 and 57672, than apply into the LCM equation.

GCF(57657,57672) = 3
LCM(57657,57672) = ( 57657 × 57672) / 3
LCM(57657,57672) = 3325194504 / 3
LCM(57657,57672) = 1108398168

Least Common Multiple (LCM) of 57657 and 57672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57657 and 57672. First we will calculate the prime factors of 57657 and 57672.

Prime Factorization of 57657

Prime Factorization of 57672

Now multiplying the highest exponent prime factors to calculate the LCM of 57657 and 57672.

LCM(57657,57672) = 3⁴ × 19219¹ × 2³ × 89¹
LCM(57657,57672) = 1108398168