What is the Least Common Multiple of 85872 and 85887?

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 85872 and 85887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85872 and 85887, than apply into the LCM equation.

GCF(85872,85887) = 3
LCM(85872,85887) = ( 85872 × 85887) / 3
LCM(85872,85887) = 7375288464 / 3
LCM(85872,85887) = 2458429488

Least Common Multiple (LCM) of 85872 and 85887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85872 and 85887. First we will calculate the prime factors of 85872 and 85887.

Prime Factorization of 85872

Prime Factorization of 85887

Now multiplying the highest exponent prime factors to calculate the LCM of 85872 and 85887.

LCM(85872,85887) = 2⁴ × 3³ × 1789¹ × 3181¹
LCM(85872,85887) = 2458429488