What is the Least Common Multiple of 22065 and 22080?

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 22065 and 22080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22065 and 22080, than apply into the LCM equation.

GCF(22065,22080) = 15
LCM(22065,22080) = ( 22065 × 22080) / 15
LCM(22065,22080) = 487195200 / 15
LCM(22065,22080) = 32479680

Least Common Multiple (LCM) of 22065 and 22080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22065 and 22080. First we will calculate the prime factors of 22065 and 22080.

Prime Factorization of 22065

Prime Factorization of 22080

Now multiplying the highest exponent prime factors to calculate the LCM of 22065 and 22080.

LCM(22065,22080) = 3¹ × 5¹ × 1471¹ × 2⁶ × 23¹
LCM(22065,22080) = 32479680