What is the Least Common Multiple of 82859 and 82871?

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 82859 and 82871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82859 and 82871, than apply into the LCM equation.

GCF(82859,82871) = 1
LCM(82859,82871) = ( 82859 × 82871) / 1
LCM(82859,82871) = 6866608189 / 1
LCM(82859,82871) = 6866608189

Least Common Multiple (LCM) of 82859 and 82871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82859 and 82871. First we will calculate the prime factors of 82859 and 82871.

Prime Factorization of 82859

Prime Factorization of 82871

Now multiplying the highest exponent prime factors to calculate the LCM of 82859 and 82871.

LCM(82859,82871) = 7² × 19¹ × 89¹ × 79¹ × 1049¹
LCM(82859,82871) = 6866608189