What is the Least Common Multiple of 22089 and 22100?

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 22100 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 22100, than apply into the LCM equation.

GCF(22089,22100) = 1
LCM(22089,22100) = ( 22089 × 22100) / 1
LCM(22089,22100) = 488166900 / 1
LCM(22089,22100) = 488166900

Least Common Multiple (LCM) of 22089 and 22100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22089 and 22100. First we will calculate the prime factors of 22089 and 22100.

Prime Factorization of 22089

Prime Factorization of 22100

Now multiplying the highest exponent prime factors to calculate the LCM of 22089 and 22100.

LCM(22089,22100) = 3¹ × 37¹ × 199¹ × 2² × 5² × 13¹ × 17¹
LCM(22089,22100) = 488166900