What is the Least Common Multiple of 80360 and 80378?

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 80360 and 80378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80360 and 80378, than apply into the LCM equation.

GCF(80360,80378) = 2
LCM(80360,80378) = ( 80360 × 80378) / 2
LCM(80360,80378) = 6459176080 / 2
LCM(80360,80378) = 3229588040

Least Common Multiple (LCM) of 80360 and 80378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80360 and 80378. First we will calculate the prime factors of 80360 and 80378.

Prime Factorization of 80360

Prime Factorization of 80378

Now multiplying the highest exponent prime factors to calculate the LCM of 80360 and 80378.

LCM(80360,80378) = 2³ × 5¹ × 7² × 41¹ × 40189¹
LCM(80360,80378) = 3229588040