What is the Least Common Multiple of 84858 and 84872?

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 84858 and 84872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84858 and 84872, than apply into the LCM equation.

GCF(84858,84872) = 2
LCM(84858,84872) = ( 84858 × 84872) / 2
LCM(84858,84872) = 7202068176 / 2
LCM(84858,84872) = 3601034088

Least Common Multiple (LCM) of 84858 and 84872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84858 and 84872. First we will calculate the prime factors of 84858 and 84872.

Prime Factorization of 84858

Prime Factorization of 84872

Now multiplying the highest exponent prime factors to calculate the LCM of 84858 and 84872.

LCM(84858,84872) = 2³ × 3¹ × 14143¹ × 103²
LCM(84858,84872) = 3601034088