What is the Least Common Multiple of 85625 and 85635?

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 85625 and 85635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85625 and 85635, than apply into the LCM equation.

GCF(85625,85635) = 5
LCM(85625,85635) = ( 85625 × 85635) / 5
LCM(85625,85635) = 7332496875 / 5
LCM(85625,85635) = 1466499375

Least Common Multiple (LCM) of 85625 and 85635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85625 and 85635. First we will calculate the prime factors of 85625 and 85635.

Prime Factorization of 85625

Prime Factorization of 85635

Now multiplying the highest exponent prime factors to calculate the LCM of 85625 and 85635.

LCM(85625,85635) = 5⁴ × 137¹ × 3² × 11¹ × 173¹
LCM(85625,85635) = 1466499375