What is the Least Common Multiple of 24004 and 24014?

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 24004 and 24014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24004 and 24014, than apply into the LCM equation.

GCF(24004,24014) = 2
LCM(24004,24014) = ( 24004 × 24014) / 2
LCM(24004,24014) = 576432056 / 2
LCM(24004,24014) = 288216028

Least Common Multiple (LCM) of 24004 and 24014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24004 and 24014. First we will calculate the prime factors of 24004 and 24014.

Prime Factorization of 24004

Prime Factorization of 24014

Now multiplying the highest exponent prime factors to calculate the LCM of 24004 and 24014.

LCM(24004,24014) = 2² × 17¹ × 353¹ × 12007¹
LCM(24004,24014) = 288216028