What is the Least Common Multiple of 95584 and 95592?

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 95584 and 95592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95584 and 95592, than apply into the LCM equation.

GCF(95584,95592) = 8
LCM(95584,95592) = ( 95584 × 95592) / 8
LCM(95584,95592) = 9137065728 / 8
LCM(95584,95592) = 1142133216

Least Common Multiple (LCM) of 95584 and 95592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95584 and 95592. First we will calculate the prime factors of 95584 and 95592.

Prime Factorization of 95584

Prime Factorization of 95592

Now multiplying the highest exponent prime factors to calculate the LCM of 95584 and 95592.

LCM(95584,95592) = 2⁵ × 29¹ × 103¹ × 3¹ × 7¹ × 569¹
LCM(95584,95592) = 1142133216