What is the Least Common Multiple of 24489 and 24504?

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 24489 and 24504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24489 and 24504, than apply into the LCM equation.

GCF(24489,24504) = 3
LCM(24489,24504) = ( 24489 × 24504) / 3
LCM(24489,24504) = 600078456 / 3
LCM(24489,24504) = 200026152

Least Common Multiple (LCM) of 24489 and 24504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24489 and 24504. First we will calculate the prime factors of 24489 and 24504.

Prime Factorization of 24489

Prime Factorization of 24504

Now multiplying the highest exponent prime factors to calculate the LCM of 24489 and 24504.

LCM(24489,24504) = 3³ × 907¹ × 2³ × 1021¹
LCM(24489,24504) = 200026152