What is the Least Common Multiple of 18729 and 18741?

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 18729 and 18741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18729 and 18741, than apply into the LCM equation.

GCF(18729,18741) = 3
LCM(18729,18741) = ( 18729 × 18741) / 3
LCM(18729,18741) = 351000189 / 3
LCM(18729,18741) = 117000063

Least Common Multiple (LCM) of 18729 and 18741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18729 and 18741. First we will calculate the prime factors of 18729 and 18741.

Prime Factorization of 18729

Prime Factorization of 18741

Now multiplying the highest exponent prime factors to calculate the LCM of 18729 and 18741.

LCM(18729,18741) = 3² × 2081¹ × 6247¹
LCM(18729,18741) = 117000063