What is the Least Common Multiple of 80201 and 80217?

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 80201 and 80217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80201 and 80217, than apply into the LCM equation.

GCF(80201,80217) = 1
LCM(80201,80217) = ( 80201 × 80217) / 1
LCM(80201,80217) = 6433483617 / 1
LCM(80201,80217) = 6433483617

Least Common Multiple (LCM) of 80201 and 80217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80201 and 80217. First we will calculate the prime factors of 80201 and 80217.

Prime Factorization of 80201

Prime Factorization of 80217

Now multiplying the highest exponent prime factors to calculate the LCM of 80201 and 80217.

LCM(80201,80217) = 11¹ × 23¹ × 317¹ × 3³ × 2971¹
LCM(80201,80217) = 6433483617