What is the Least Common Multiple of 9165 and 9175?

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 9165 and 9175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9165 and 9175, than apply into the LCM equation.

GCF(9165,9175) = 5
LCM(9165,9175) = ( 9165 × 9175) / 5
LCM(9165,9175) = 84088875 / 5
LCM(9165,9175) = 16817775

Least Common Multiple (LCM) of 9165 and 9175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9165 and 9175. First we will calculate the prime factors of 9165 and 9175.

Prime Factorization of 9165

Prime Factorization of 9175

Now multiplying the highest exponent prime factors to calculate the LCM of 9165 and 9175.

LCM(9165,9175) = 3¹ × 5² × 13¹ × 47¹ × 367¹
LCM(9165,9175) = 16817775