What is the Least Common Multiple of 41856 and 41875?

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 41856 and 41875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41856 and 41875, than apply into the LCM equation.

GCF(41856,41875) = 1
LCM(41856,41875) = ( 41856 × 41875) / 1
LCM(41856,41875) = 1752720000 / 1
LCM(41856,41875) = 1752720000

Least Common Multiple (LCM) of 41856 and 41875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41856 and 41875. First we will calculate the prime factors of 41856 and 41875.

Prime Factorization of 41856

Prime Factorization of 41875

Now multiplying the highest exponent prime factors to calculate the LCM of 41856 and 41875.

LCM(41856,41875) = 2⁷ × 3¹ × 109¹ × 5⁴ × 67¹
LCM(41856,41875) = 1752720000