What is the Least Common Multiple of 80384 and 80401?

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 80384 and 80401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80384 and 80401, than apply into the LCM equation.

GCF(80384,80401) = 1
LCM(80384,80401) = ( 80384 × 80401) / 1
LCM(80384,80401) = 6462953984 / 1
LCM(80384,80401) = 6462953984

Least Common Multiple (LCM) of 80384 and 80401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80384 and 80401. First we will calculate the prime factors of 80384 and 80401.

Prime Factorization of 80384

Prime Factorization of 80401

Now multiplying the highest exponent prime factors to calculate the LCM of 80384 and 80401.

LCM(80384,80401) = 2⁹ × 157¹ × 37¹ × 41¹ × 53¹
LCM(80384,80401) = 6462953984