What is the Least Common Multiple of 9075 and 9095?

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 9075 and 9095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9075 and 9095, than apply into the LCM equation.

GCF(9075,9095) = 5
LCM(9075,9095) = ( 9075 × 9095) / 5
LCM(9075,9095) = 82537125 / 5
LCM(9075,9095) = 16507425

Least Common Multiple (LCM) of 9075 and 9095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9075 and 9095. First we will calculate the prime factors of 9075 and 9095.

Prime Factorization of 9075

Prime Factorization of 9095

Now multiplying the highest exponent prime factors to calculate the LCM of 9075 and 9095.

LCM(9075,9095) = 3¹ × 5² × 11² × 17¹ × 107¹
LCM(9075,9095) = 16507425