What is the Least Common Multiple of 95584 and 95588?

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 95588 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 95588, than apply into the LCM equation.

GCF(95584,95588) = 4
LCM(95584,95588) = ( 95584 × 95588) / 4
LCM(95584,95588) = 9136683392 / 4
LCM(95584,95588) = 2284170848

Least Common Multiple (LCM) of 95584 and 95588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95584 and 95588. First we will calculate the prime factors of 95584 and 95588.

Prime Factorization of 95584

Prime Factorization of 95588

Now multiplying the highest exponent prime factors to calculate the LCM of 95584 and 95588.

LCM(95584,95588) = 2⁵ × 29¹ × 103¹ × 23¹ × 1039¹
LCM(95584,95588) = 2284170848