What is the Least Common Multiple of 95566 and 95584?

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 95566 and 95584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95566 and 95584, than apply into the LCM equation.

GCF(95566,95584) = 2
LCM(95566,95584) = ( 95566 × 95584) / 2
LCM(95566,95584) = 9134580544 / 2
LCM(95566,95584) = 4567290272

Least Common Multiple (LCM) of 95566 and 95584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95566 and 95584. First we will calculate the prime factors of 95566 and 95584.

Prime Factorization of 95566

Prime Factorization of 95584

Now multiplying the highest exponent prime factors to calculate the LCM of 95566 and 95584.

LCM(95566,95584) = 2⁵ × 71¹ × 673¹ × 29¹ × 103¹
LCM(95566,95584) = 4567290272