What is the Least Common Multiple of 85588 and 85608?

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 85588 and 85608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85588 and 85608, than apply into the LCM equation.

GCF(85588,85608) = 4
LCM(85588,85608) = ( 85588 × 85608) / 4
LCM(85588,85608) = 7327017504 / 4
LCM(85588,85608) = 1831754376

Least Common Multiple (LCM) of 85588 and 85608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85588 and 85608. First we will calculate the prime factors of 85588 and 85608.

Prime Factorization of 85588

Prime Factorization of 85608

Now multiplying the highest exponent prime factors to calculate the LCM of 85588 and 85608.

LCM(85588,85608) = 2³ × 21397¹ × 3² × 29¹ × 41¹
LCM(85588,85608) = 1831754376