What is the Least Common Multiple of 57735 and 57741?

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 57735 and 57741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57735 and 57741, than apply into the LCM equation.

GCF(57735,57741) = 3
LCM(57735,57741) = ( 57735 × 57741) / 3
LCM(57735,57741) = 3333676635 / 3
LCM(57735,57741) = 1111225545

Least Common Multiple (LCM) of 57735 and 57741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57735 and 57741. First we will calculate the prime factors of 57735 and 57741.

Prime Factorization of 57735

Prime Factorization of 57741

Now multiplying the highest exponent prime factors to calculate the LCM of 57735 and 57741.

LCM(57735,57741) = 3² × 5¹ × 1283¹ × 19¹ × 1013¹
LCM(57735,57741) = 1111225545