What is the Least Common Multiple of 95493 and 95501?

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 95493 and 95501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95493 and 95501, than apply into the LCM equation.

GCF(95493,95501) = 1
LCM(95493,95501) = ( 95493 × 95501) / 1
LCM(95493,95501) = 9119676993 / 1
LCM(95493,95501) = 9119676993

Least Common Multiple (LCM) of 95493 and 95501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95493 and 95501. First we will calculate the prime factors of 95493 and 95501.

Prime Factorization of 95493

Prime Factorization of 95501

Now multiplying the highest exponent prime factors to calculate the LCM of 95493 and 95501.

LCM(95493,95501) = 3¹ × 139¹ × 229¹ × 7² × 1949¹
LCM(95493,95501) = 9119676993