What is the Least Common Multiple of 83879 and 83889?

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 83879 and 83889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83879 and 83889, than apply into the LCM equation.

GCF(83879,83889) = 1
LCM(83879,83889) = ( 83879 × 83889) / 1
LCM(83879,83889) = 7036525431 / 1
LCM(83879,83889) = 7036525431

Least Common Multiple (LCM) of 83879 and 83889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83879 and 83889. First we will calculate the prime factors of 83879 and 83889.

Prime Factorization of 83879

Prime Factorization of 83889

Now multiplying the highest exponent prime factors to calculate the LCM of 83879 and 83889.

LCM(83879,83889) = 37¹ × 2267¹ × 3³ × 13¹ × 239¹
LCM(83879,83889) = 7036525431