What is the Least Common Multiple of 95093 and 95113?

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 95093 and 95113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95093 and 95113, than apply into the LCM equation.

GCF(95093,95113) = 1
LCM(95093,95113) = ( 95093 × 95113) / 1
LCM(95093,95113) = 9044580509 / 1
LCM(95093,95113) = 9044580509

Least Common Multiple (LCM) of 95093 and 95113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95093 and 95113. First we will calculate the prime factors of 95093 and 95113.

Prime Factorization of 95093

Prime Factorization of 95113

Now multiplying the highest exponent prime factors to calculate the LCM of 95093 and 95113.

LCM(95093,95113) = 95093¹ × 227¹ × 419¹
LCM(95093,95113) = 9044580509