What is the Least Common Multiple of 23685 and 23700?

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 23685 and 23700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23685 and 23700, than apply into the LCM equation.

GCF(23685,23700) = 15
LCM(23685,23700) = ( 23685 × 23700) / 15
LCM(23685,23700) = 561334500 / 15
LCM(23685,23700) = 37422300

Least Common Multiple (LCM) of 23685 and 23700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23685 and 23700. First we will calculate the prime factors of 23685 and 23700.

Prime Factorization of 23685

Prime Factorization of 23700

Now multiplying the highest exponent prime factors to calculate the LCM of 23685 and 23700.

LCM(23685,23700) = 3¹ × 5² × 1579¹ × 2² × 79¹
LCM(23685,23700) = 37422300