What is the Least Common Multiple of 72063 and 72069?

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 72063 and 72069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72063 and 72069, than apply into the LCM equation.

GCF(72063,72069) = 3
LCM(72063,72069) = ( 72063 × 72069) / 3
LCM(72063,72069) = 5193508347 / 3
LCM(72063,72069) = 1731169449

Least Common Multiple (LCM) of 72063 and 72069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72063 and 72069. First we will calculate the prime factors of 72063 and 72069.

Prime Factorization of 72063

Prime Factorization of 72069

Now multiplying the highest exponent prime factors to calculate the LCM of 72063 and 72069.

LCM(72063,72069) = 3³ × 17¹ × 157¹ × 24023¹
LCM(72063,72069) = 1731169449