What is the Least Common Multiple of 91150 and 91165?

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 91150 and 91165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91150 and 91165, than apply into the LCM equation.

GCF(91150,91165) = 5
LCM(91150,91165) = ( 91150 × 91165) / 5
LCM(91150,91165) = 8309689750 / 5
LCM(91150,91165) = 1661937950

Least Common Multiple (LCM) of 91150 and 91165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91150 and 91165. First we will calculate the prime factors of 91150 and 91165.

Prime Factorization of 91150

Prime Factorization of 91165

Now multiplying the highest exponent prime factors to calculate the LCM of 91150 and 91165.

LCM(91150,91165) = 2¹ × 5² × 1823¹ × 18233¹
LCM(91150,91165) = 1661937950