What is the Least Common Multiple of 22080 and 22089?

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 22080 and 22089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22080 and 22089, than apply into the LCM equation.

GCF(22080,22089) = 3
LCM(22080,22089) = ( 22080 × 22089) / 3
LCM(22080,22089) = 487725120 / 3
LCM(22080,22089) = 162575040

Least Common Multiple (LCM) of 22080 and 22089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22080 and 22089. First we will calculate the prime factors of 22080 and 22089.

Prime Factorization of 22080

Prime Factorization of 22089

Now multiplying the highest exponent prime factors to calculate the LCM of 22080 and 22089.

LCM(22080,22089) = 2⁶ × 3¹ × 5¹ × 23¹ × 37¹ × 199¹
LCM(22080,22089) = 162575040