What is the Least Common Multiple of 80378 and 80383?

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 80383 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 80383, than apply into the LCM equation.

GCF(80378,80383) = 1
LCM(80378,80383) = ( 80378 × 80383) / 1
LCM(80378,80383) = 6461024774 / 1
LCM(80378,80383) = 6461024774

Least Common Multiple (LCM) of 80378 and 80383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80378 and 80383. First we will calculate the prime factors of 80378 and 80383.

Prime Factorization of 80378

Prime Factorization of 80383

Now multiplying the highest exponent prime factors to calculate the LCM of 80378 and 80383.

LCM(80378,80383) = 2¹ × 40189¹ × 31¹ × 2593¹
LCM(80378,80383) = 6461024774