What is the Least Common Multiple of 80191 and 80201?

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 80191 and 80201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80191 and 80201, than apply into the LCM equation.

GCF(80191,80201) = 1
LCM(80191,80201) = ( 80191 × 80201) / 1
LCM(80191,80201) = 6431398391 / 1
LCM(80191,80201) = 6431398391

Least Common Multiple (LCM) of 80191 and 80201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80191 and 80201. First we will calculate the prime factors of 80191 and 80201.

Prime Factorization of 80191

Prime Factorization of 80201

Now multiplying the highest exponent prime factors to calculate the LCM of 80191 and 80201.

LCM(80191,80201) = 80191¹ × 11¹ × 23¹ × 317¹
LCM(80191,80201) = 6431398391