What is the Least Common Multiple of 9175 and 9195?

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 9175 and 9195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9175 and 9195, than apply into the LCM equation.

GCF(9175,9195) = 5
LCM(9175,9195) = ( 9175 × 9195) / 5
LCM(9175,9195) = 84364125 / 5
LCM(9175,9195) = 16872825

Least Common Multiple (LCM) of 9175 and 9195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9175 and 9195. First we will calculate the prime factors of 9175 and 9195.

Prime Factorization of 9175

Prime Factorization of 9195

Now multiplying the highest exponent prime factors to calculate the LCM of 9175 and 9195.

LCM(9175,9195) = 5² × 367¹ × 3¹ × 613¹
LCM(9175,9195) = 16872825