What is the Least Common Multiple of 85604 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 85604 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 85604 and 85623, than apply into the LCM equation.

GCF(85604,85623) = 1
LCM(85604,85623) = ( 85604 × 85623) / 1
LCM(85604,85623) = 7329671292 / 1
LCM(85604,85623) = 7329671292

Least Common Multiple (LCM) of 85604 and 85623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85604 and 85623. First we will calculate the prime factors of 85604 and 85623.

Prime Factorization of 85604

Prime Factorization of 85623

Now multiplying the highest exponent prime factors to calculate the LCM of 85604 and 85623.

LCM(85604,85623) = 2² × 21401¹ × 3¹ × 28541¹
LCM(85604,85623) = 7329671292