What is the Least Common Multiple of 81033 and 81039?

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 81033 and 81039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81033 and 81039, than apply into the LCM equation.

GCF(81033,81039) = 3
LCM(81033,81039) = ( 81033 × 81039) / 3
LCM(81033,81039) = 6566833287 / 3
LCM(81033,81039) = 2188944429

Least Common Multiple (LCM) of 81033 and 81039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81033 and 81039. First we will calculate the prime factors of 81033 and 81039.

Prime Factorization of 81033

Prime Factorization of 81039

Now multiplying the highest exponent prime factors to calculate the LCM of 81033 and 81039.

LCM(81033,81039) = 3¹ × 27011¹ × 7¹ × 17¹ × 227¹
LCM(81033,81039) = 2188944429