What is the Least Common Multiple of 95173 and 95177?

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 95173 and 95177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95173 and 95177, than apply into the LCM equation.

GCF(95173,95177) = 1
LCM(95173,95177) = ( 95173 × 95177) / 1
LCM(95173,95177) = 9058280621 / 1
LCM(95173,95177) = 9058280621

Least Common Multiple (LCM) of 95173 and 95177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95173 and 95177. First we will calculate the prime factors of 95173 and 95177.

Prime Factorization of 95173

Prime Factorization of 95177

Now multiplying the highest exponent prime factors to calculate the LCM of 95173 and 95177.

LCM(95173,95177) = 13¹ × 7321¹ × 95177¹
LCM(95173,95177) = 9058280621