What is the Least Common Multiple of 71856 and 71875?

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 71856 and 71875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71856 and 71875, than apply into the LCM equation.

GCF(71856,71875) = 1
LCM(71856,71875) = ( 71856 × 71875) / 1
LCM(71856,71875) = 5164650000 / 1
LCM(71856,71875) = 5164650000

Least Common Multiple (LCM) of 71856 and 71875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71856 and 71875. First we will calculate the prime factors of 71856 and 71875.

Prime Factorization of 71856

Prime Factorization of 71875

Now multiplying the highest exponent prime factors to calculate the LCM of 71856 and 71875.

LCM(71856,71875) = 2⁴ × 3² × 499¹ × 5⁵ × 23¹
LCM(71856,71875) = 5164650000