What is the Least Common Multiple of 23994 and 24008?

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 23994 and 24008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23994 and 24008, than apply into the LCM equation.

GCF(23994,24008) = 2
LCM(23994,24008) = ( 23994 × 24008) / 2
LCM(23994,24008) = 576047952 / 2
LCM(23994,24008) = 288023976

Least Common Multiple (LCM) of 23994 and 24008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23994 and 24008. First we will calculate the prime factors of 23994 and 24008.

Prime Factorization of 23994

Prime Factorization of 24008

Now multiplying the highest exponent prime factors to calculate the LCM of 23994 and 24008.

LCM(23994,24008) = 2³ × 3² × 31¹ × 43¹ × 3001¹
LCM(23994,24008) = 288023976