What is the Least Common Multiple of 80378 and 80396?

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 80378 and 80396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80378 and 80396, than apply into the LCM equation.

GCF(80378,80396) = 2
LCM(80378,80396) = ( 80378 × 80396) / 2
LCM(80378,80396) = 6462069688 / 2
LCM(80378,80396) = 3231034844

Least Common Multiple (LCM) of 80378 and 80396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80378 and 80396. First we will calculate the prime factors of 80378 and 80396.

Prime Factorization of 80378

Prime Factorization of 80396

Now multiplying the highest exponent prime factors to calculate the LCM of 80378 and 80396.

LCM(80378,80396) = 2² × 40189¹ × 101¹ × 199¹
LCM(80378,80396) = 3231034844