What is the Least Common Multiple of 22089 and 22095?

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 22089 and 22095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22089 and 22095, than apply into the LCM equation.

GCF(22089,22095) = 3
LCM(22089,22095) = ( 22089 × 22095) / 3
LCM(22089,22095) = 488056455 / 3
LCM(22089,22095) = 162685485

Least Common Multiple (LCM) of 22089 and 22095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22089 and 22095. First we will calculate the prime factors of 22089 and 22095.

Prime Factorization of 22089

Prime Factorization of 22095

Now multiplying the highest exponent prime factors to calculate the LCM of 22089 and 22095.

LCM(22089,22095) = 3² × 37¹ × 199¹ × 5¹ × 491¹
LCM(22089,22095) = 162685485