What is the Least Common Multiple of 57729 and 57735?

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 57729 and 57735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57729 and 57735, than apply into the LCM equation.

GCF(57729,57735) = 3
LCM(57729,57735) = ( 57729 × 57735) / 3
LCM(57729,57735) = 3332983815 / 3
LCM(57729,57735) = 1110994605

Least Common Multiple (LCM) of 57729 and 57735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57729 and 57735. First we will calculate the prime factors of 57729 and 57735.

Prime Factorization of 57729

Prime Factorization of 57735

Now multiplying the highest exponent prime factors to calculate the LCM of 57729 and 57735.

LCM(57729,57735) = 3² × 7¹ × 2749¹ × 5¹ × 1283¹
LCM(57729,57735) = 1110994605