What is the Least Common Multiple of 90393 and 90399?

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 90393 and 90399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90393 and 90399, than apply into the LCM equation.

GCF(90393,90399) = 3
LCM(90393,90399) = ( 90393 × 90399) / 3
LCM(90393,90399) = 8171436807 / 3
LCM(90393,90399) = 2723812269

Least Common Multiple (LCM) of 90393 and 90399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90393 and 90399. First we will calculate the prime factors of 90393 and 90399.

Prime Factorization of 90393

Prime Factorization of 90399

Now multiplying the highest exponent prime factors to calculate the LCM of 90393 and 90399.

LCM(90393,90399) = 3¹ × 29¹ × 1039¹ × 30133¹
LCM(90393,90399) = 2723812269