What is the Least Common Multiple of 23724 and 23733?

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 23733 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 23733, than apply into the LCM equation.

GCF(23724,23733) = 9
LCM(23724,23733) = ( 23724 × 23733) / 9
LCM(23724,23733) = 563041692 / 9
LCM(23724,23733) = 62560188

Least Common Multiple (LCM) of 23724 and 23733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23724 and 23733. First we will calculate the prime factors of 23724 and 23733.

Prime Factorization of 23724

Prime Factorization of 23733

Now multiplying the highest exponent prime factors to calculate the LCM of 23724 and 23733.

LCM(23724,23733) = 2² × 3⁴ × 659¹ × 293¹
LCM(23724,23733) = 62560188