What is the Least Common Multiple of 85364 and 85375?

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 85364 and 85375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85364 and 85375, than apply into the LCM equation.

GCF(85364,85375) = 1
LCM(85364,85375) = ( 85364 × 85375) / 1
LCM(85364,85375) = 7287951500 / 1
LCM(85364,85375) = 7287951500

Least Common Multiple (LCM) of 85364 and 85375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85364 and 85375. First we will calculate the prime factors of 85364 and 85375.

Prime Factorization of 85364

Prime Factorization of 85375

Now multiplying the highest exponent prime factors to calculate the LCM of 85364 and 85375.

LCM(85364,85375) = 2² × 21341¹ × 5³ × 683¹
LCM(85364,85375) = 7287951500