What is the Least Common Multiple of 83021 and 83039?

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 83021 and 83039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83021 and 83039, than apply into the LCM equation.

GCF(83021,83039) = 1
LCM(83021,83039) = ( 83021 × 83039) / 1
LCM(83021,83039) = 6893980819 / 1
LCM(83021,83039) = 6893980819

Least Common Multiple (LCM) of 83021 and 83039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83021 and 83039. First we will calculate the prime factors of 83021 and 83039.

Prime Factorization of 83021

Prime Factorization of 83039

Now multiplying the highest exponent prime factors to calculate the LCM of 83021 and 83039.

LCM(83021,83039) = 61¹ × 1361¹ × 11¹ × 7549¹
LCM(83021,83039) = 6893980819