What is the Least Common Multiple of 96089 and 96095?

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 96089 and 96095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96089 and 96095, than apply into the LCM equation.

GCF(96089,96095) = 1
LCM(96089,96095) = ( 96089 × 96095) / 1
LCM(96089,96095) = 9233672455 / 1
LCM(96089,96095) = 9233672455

Least Common Multiple (LCM) of 96089 and 96095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96089 and 96095. First we will calculate the prime factors of 96089 and 96095.

Prime Factorization of 96089

Prime Factorization of 96095

Now multiplying the highest exponent prime factors to calculate the LCM of 96089 and 96095.

LCM(96089,96095) = 7² × 37¹ × 53¹ × 5¹ × 19219¹
LCM(96089,96095) = 9233672455