What is the Least Common Multiple of 24384 and 24399?

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 24384 and 24399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24384 and 24399, than apply into the LCM equation.

GCF(24384,24399) = 3
LCM(24384,24399) = ( 24384 × 24399) / 3
LCM(24384,24399) = 594945216 / 3
LCM(24384,24399) = 198315072

Least Common Multiple (LCM) of 24384 and 24399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24384 and 24399. First we will calculate the prime factors of 24384 and 24399.

Prime Factorization of 24384

Prime Factorization of 24399

Now multiplying the highest exponent prime factors to calculate the LCM of 24384 and 24399.

LCM(24384,24399) = 2⁶ × 3² × 127¹ × 2711¹
LCM(24384,24399) = 198315072