What is the Least Common Multiple of 24008 and 24012?

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 24008 and 24012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24008 and 24012, than apply into the LCM equation.

GCF(24008,24012) = 4
LCM(24008,24012) = ( 24008 × 24012) / 4
LCM(24008,24012) = 576480096 / 4
LCM(24008,24012) = 144120024

Least Common Multiple (LCM) of 24008 and 24012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24008 and 24012. First we will calculate the prime factors of 24008 and 24012.

Prime Factorization of 24008

Prime Factorization of 24012

Now multiplying the highest exponent prime factors to calculate the LCM of 24008 and 24012.

LCM(24008,24012) = 2³ × 3001¹ × 3² × 23¹ × 29¹
LCM(24008,24012) = 144120024