What is the Least Common Multiple of 83079 and 83099?

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 83079 and 83099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83079 and 83099, than apply into the LCM equation.

GCF(83079,83099) = 1
LCM(83079,83099) = ( 83079 × 83099) / 1
LCM(83079,83099) = 6903781821 / 1
LCM(83079,83099) = 6903781821

Least Common Multiple (LCM) of 83079 and 83099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83079 and 83099. First we will calculate the prime factors of 83079 and 83099.

Prime Factorization of 83079

Prime Factorization of 83099

Now multiplying the highest exponent prime factors to calculate the LCM of 83079 and 83099.

LCM(83079,83099) = 3³ × 17¹ × 181¹ × 23¹ × 3613¹
LCM(83079,83099) = 6903781821