What is the Least Common Multiple of 24384 and 24396?

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 24396 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 24396, than apply into the LCM equation.

GCF(24384,24396) = 12
LCM(24384,24396) = ( 24384 × 24396) / 12
LCM(24384,24396) = 594872064 / 12
LCM(24384,24396) = 49572672

Least Common Multiple (LCM) of 24384 and 24396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24384 and 24396. First we will calculate the prime factors of 24384 and 24396.

Prime Factorization of 24384

Prime Factorization of 24396

Now multiplying the highest exponent prime factors to calculate the LCM of 24384 and 24396.

LCM(24384,24396) = 2⁶ × 3¹ × 127¹ × 19¹ × 107¹
LCM(24384,24396) = 49572672