What is the Least Common Multiple of 24858 and 24872?

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 24858 and 24872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24858 and 24872, than apply into the LCM equation.

GCF(24858,24872) = 2
LCM(24858,24872) = ( 24858 × 24872) / 2
LCM(24858,24872) = 618268176 / 2
LCM(24858,24872) = 309134088

Least Common Multiple (LCM) of 24858 and 24872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24858 and 24872. First we will calculate the prime factors of 24858 and 24872.

Prime Factorization of 24858

Prime Factorization of 24872

Now multiplying the highest exponent prime factors to calculate the LCM of 24858 and 24872.

LCM(24858,24872) = 2³ × 3² × 1381¹ × 3109¹
LCM(24858,24872) = 309134088