What is the Least Common Multiple of 85599 and 85617?

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 85599 and 85617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85599 and 85617, than apply into the LCM equation.

GCF(85599,85617) = 9
LCM(85599,85617) = ( 85599 × 85617) / 9
LCM(85599,85617) = 7328729583 / 9
LCM(85599,85617) = 814303287

Least Common Multiple (LCM) of 85599 and 85617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85599 and 85617. First we will calculate the prime factors of 85599 and 85617.

Prime Factorization of 85599

Prime Factorization of 85617

Now multiplying the highest exponent prime factors to calculate the LCM of 85599 and 85617.

LCM(85599,85617) = 3⁴ × 9511¹ × 7¹ × 151¹
LCM(85599,85617) = 814303287