What is the Least Common Multiple of 95489 and 95493?

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 95489 and 95493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95489 and 95493, than apply into the LCM equation.

GCF(95489,95493) = 1
LCM(95489,95493) = ( 95489 × 95493) / 1
LCM(95489,95493) = 9118531077 / 1
LCM(95489,95493) = 9118531077

Least Common Multiple (LCM) of 95489 and 95493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95489 and 95493. First we will calculate the prime factors of 95489 and 95493.

Prime Factorization of 95489

Prime Factorization of 95493

Now multiplying the highest exponent prime factors to calculate the LCM of 95489 and 95493.

LCM(95489,95493) = 17¹ × 41¹ × 137¹ × 3¹ × 139¹ × 229¹
LCM(95489,95493) = 9118531077