What is the Least Common Multiple of 24372 and 24384?

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 24372 and 24384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24372 and 24384, than apply into the LCM equation.

GCF(24372,24384) = 12
LCM(24372,24384) = ( 24372 × 24384) / 12
LCM(24372,24384) = 594286848 / 12
LCM(24372,24384) = 49523904

Least Common Multiple (LCM) of 24372 and 24384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24372 and 24384. First we will calculate the prime factors of 24372 and 24384.

Prime Factorization of 24372

Prime Factorization of 24384

Now multiplying the highest exponent prime factors to calculate the LCM of 24372 and 24384.

LCM(24372,24384) = 2⁶ × 3² × 677¹ × 127¹
LCM(24372,24384) = 49523904