What is the Least Common Multiple of 95584 and 95602?

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 95602 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 95602, than apply into the LCM equation.

GCF(95584,95602) = 2
LCM(95584,95602) = ( 95584 × 95602) / 2
LCM(95584,95602) = 9138021568 / 2
LCM(95584,95602) = 4569010784

Least Common Multiple (LCM) of 95584 and 95602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95584 and 95602. First we will calculate the prime factors of 95584 and 95602.

Prime Factorization of 95584

Prime Factorization of 95602

Now multiplying the highest exponent prime factors to calculate the LCM of 95584 and 95602.

LCM(95584,95602) = 2⁵ × 29¹ × 103¹ × 13¹ × 3677¹
LCM(95584,95602) = 4569010784