What is the Least Common Multiple of 72069 and 72081?

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 72069 and 72081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72069 and 72081, than apply into the LCM equation.

GCF(72069,72081) = 3
LCM(72069,72081) = ( 72069 × 72081) / 3
LCM(72069,72081) = 5194805589 / 3
LCM(72069,72081) = 1731601863

Least Common Multiple (LCM) of 72069 and 72081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72069 and 72081. First we will calculate the prime factors of 72069 and 72081.

Prime Factorization of 72069

Prime Factorization of 72081

Now multiplying the highest exponent prime factors to calculate the LCM of 72069 and 72081.

LCM(72069,72081) = 3² × 24023¹ × 8009¹
LCM(72069,72081) = 1731601863