What is the Least Common Multiple of 80361 and 80375?

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 80361 and 80375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80361 and 80375, than apply into the LCM equation.

GCF(80361,80375) = 1
LCM(80361,80375) = ( 80361 × 80375) / 1
LCM(80361,80375) = 6459015375 / 1
LCM(80361,80375) = 6459015375

Least Common Multiple (LCM) of 80361 and 80375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80361 and 80375. First we will calculate the prime factors of 80361 and 80375.

Prime Factorization of 80361

Prime Factorization of 80375

Now multiplying the highest exponent prime factors to calculate the LCM of 80361 and 80375.

LCM(80361,80375) = 3² × 8929¹ × 5³ × 643¹
LCM(80361,80375) = 6459015375