What is the Least Common Multiple of 57735 and 57739?

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 57739 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 57739, than apply into the LCM equation.

GCF(57735,57739) = 1
LCM(57735,57739) = ( 57735 × 57739) / 1
LCM(57735,57739) = 3333561165 / 1
LCM(57735,57739) = 3333561165

Least Common Multiple (LCM) of 57735 and 57739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57735 and 57739. First we will calculate the prime factors of 57735 and 57739.

Prime Factorization of 57735

Prime Factorization of 57739

Now multiplying the highest exponent prime factors to calculate the LCM of 57735 and 57739.

LCM(57735,57739) = 3² × 5¹ × 1283¹ × 11¹ × 29¹ × 181¹
LCM(57735,57739) = 3333561165