What is the Least Common Multiple of 23994 and 24004?

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 24004 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 24004, than apply into the LCM equation.

GCF(23994,24004) = 2
LCM(23994,24004) = ( 23994 × 24004) / 2
LCM(23994,24004) = 575951976 / 2
LCM(23994,24004) = 287975988

Least Common Multiple (LCM) of 23994 and 24004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23994 and 24004. First we will calculate the prime factors of 23994 and 24004.

Prime Factorization of 23994

Prime Factorization of 24004

Now multiplying the highest exponent prime factors to calculate the LCM of 23994 and 24004.

LCM(23994,24004) = 2² × 3² × 31¹ × 43¹ × 17¹ × 353¹
LCM(23994,24004) = 287975988