What is the Least Common Multiple of 24384 and 24400?

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 24400 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 24400, than apply into the LCM equation.

GCF(24384,24400) = 16
LCM(24384,24400) = ( 24384 × 24400) / 16
LCM(24384,24400) = 594969600 / 16
LCM(24384,24400) = 37185600

Least Common Multiple (LCM) of 24384 and 24400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24384 and 24400. First we will calculate the prime factors of 24384 and 24400.

Prime Factorization of 24384

Prime Factorization of 24400

Now multiplying the highest exponent prime factors to calculate the LCM of 24384 and 24400.

LCM(24384,24400) = 2⁶ × 3¹ × 127¹ × 5² × 61¹
LCM(24384,24400) = 37185600