What is the Least Common Multiple of 85617 and 85623?

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 85617 and 85623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85617 and 85623, than apply into the LCM equation.

GCF(85617,85623) = 3
LCM(85617,85623) = ( 85617 × 85623) / 3
LCM(85617,85623) = 7330784391 / 3
LCM(85617,85623) = 2443594797

Least Common Multiple (LCM) of 85617 and 85623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85617 and 85623. First we will calculate the prime factors of 85617 and 85623.

Prime Factorization of 85617

Prime Factorization of 85623

Now multiplying the highest exponent prime factors to calculate the LCM of 85617 and 85623.

LCM(85617,85623) = 3⁴ × 7¹ × 151¹ × 28541¹
LCM(85617,85623) = 2443594797