What is the Least Common Multiple of 23724 and 23739?

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 23724 and 23739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23724 and 23739, than apply into the LCM equation.

GCF(23724,23739) = 3
LCM(23724,23739) = ( 23724 × 23739) / 3
LCM(23724,23739) = 563184036 / 3
LCM(23724,23739) = 187728012

Least Common Multiple (LCM) of 23724 and 23739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23724 and 23739. First we will calculate the prime factors of 23724 and 23739.

Prime Factorization of 23724

Prime Factorization of 23739

Now multiplying the highest exponent prime factors to calculate the LCM of 23724 and 23739.

LCM(23724,23739) = 2² × 3² × 659¹ × 41¹ × 193¹
LCM(23724,23739) = 187728012