What is the Least Common Multiple of 82026 and 82039?

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 82026 and 82039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82026 and 82039, than apply into the LCM equation.

GCF(82026,82039) = 1
LCM(82026,82039) = ( 82026 × 82039) / 1
LCM(82026,82039) = 6729331014 / 1
LCM(82026,82039) = 6729331014

Least Common Multiple (LCM) of 82026 and 82039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82026 and 82039. First we will calculate the prime factors of 82026 and 82039.

Prime Factorization of 82026

Prime Factorization of 82039

Now multiplying the highest exponent prime factors to calculate the LCM of 82026 and 82039.

LCM(82026,82039) = 2¹ × 3³ × 7² × 31¹ × 82039¹
LCM(82026,82039) = 6729331014