What is the Least Common Multiple of 22080 and 22088?

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 22088 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 22088, than apply into the LCM equation.

GCF(22080,22088) = 8
LCM(22080,22088) = ( 22080 × 22088) / 8
LCM(22080,22088) = 487703040 / 8
LCM(22080,22088) = 60962880

Least Common Multiple (LCM) of 22080 and 22088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22080 and 22088. First we will calculate the prime factors of 22080 and 22088.

Prime Factorization of 22080

Prime Factorization of 22088

Now multiplying the highest exponent prime factors to calculate the LCM of 22080 and 22088.

LCM(22080,22088) = 2⁶ × 3¹ × 5¹ × 23¹ × 11¹ × 251¹
LCM(22080,22088) = 60962880