What is the Least Common Multiple of 83856 and 83872?

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 83856 and 83872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83856 and 83872, than apply into the LCM equation.

GCF(83856,83872) = 16
LCM(83856,83872) = ( 83856 × 83872) / 16
LCM(83856,83872) = 7033170432 / 16
LCM(83856,83872) = 439573152

Least Common Multiple (LCM) of 83856 and 83872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83856 and 83872. First we will calculate the prime factors of 83856 and 83872.

Prime Factorization of 83856

Prime Factorization of 83872

Now multiplying the highest exponent prime factors to calculate the LCM of 83856 and 83872.

LCM(83856,83872) = 2⁵ × 3¹ × 1747¹ × 2621¹
LCM(83856,83872) = 439573152