What is the Least Common Multiple of 80378 and 80394?

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 80394 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 80394, than apply into the LCM equation.

GCF(80378,80394) = 2
LCM(80378,80394) = ( 80378 × 80394) / 2
LCM(80378,80394) = 6461908932 / 2
LCM(80378,80394) = 3230954466

Least Common Multiple (LCM) of 80378 and 80394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80378 and 80394. First we will calculate the prime factors of 80378 and 80394.

Prime Factorization of 80378

Prime Factorization of 80394

Now multiplying the highest exponent prime factors to calculate the LCM of 80378 and 80394.

LCM(80378,80394) = 2¹ × 40189¹ × 3¹ × 13399¹
LCM(80378,80394) = 3230954466