What is the Least Common Multiple of 28056 and 28069?

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 28056 and 28069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28056 and 28069, than apply into the LCM equation.

GCF(28056,28069) = 1
LCM(28056,28069) = ( 28056 × 28069) / 1
LCM(28056,28069) = 787503864 / 1
LCM(28056,28069) = 787503864

Least Common Multiple (LCM) of 28056 and 28069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28056 and 28069. First we will calculate the prime factors of 28056 and 28069.

Prime Factorization of 28056

Prime Factorization of 28069

Now multiplying the highest exponent prime factors to calculate the LCM of 28056 and 28069.

LCM(28056,28069) = 2³ × 3¹ × 7¹ × 167¹ × 28069¹
LCM(28056,28069) = 787503864