What is the Least Common Multiple of 82081 and 82099?

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 82081 and 82099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82081 and 82099, than apply into the LCM equation.

GCF(82081,82099) = 1
LCM(82081,82099) = ( 82081 × 82099) / 1
LCM(82081,82099) = 6738768019 / 1
LCM(82081,82099) = 6738768019

Least Common Multiple (LCM) of 82081 and 82099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82081 and 82099. First we will calculate the prime factors of 82081 and 82099.

Prime Factorization of 82081

Prime Factorization of 82099

Now multiplying the highest exponent prime factors to calculate the LCM of 82081 and 82099.

LCM(82081,82099) = 79¹ × 1039¹ × 19¹ × 29¹ × 149¹
LCM(82081,82099) = 6738768019