What is the Least Common Multiple of 95085 and 95093?

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 95085 and 95093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95085 and 95093, than apply into the LCM equation.

GCF(95085,95093) = 1
LCM(95085,95093) = ( 95085 × 95093) / 1
LCM(95085,95093) = 9041917905 / 1
LCM(95085,95093) = 9041917905

Least Common Multiple (LCM) of 95085 and 95093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95085 and 95093. First we will calculate the prime factors of 95085 and 95093.

Prime Factorization of 95085

Prime Factorization of 95093

Now multiplying the highest exponent prime factors to calculate the LCM of 95085 and 95093.

LCM(95085,95093) = 3² × 5¹ × 2113¹ × 95093¹
LCM(95085,95093) = 9041917905