What is the Least Common Multiple of 82309 and 82319?

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 82309 and 82319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82309 and 82319, than apply into the LCM equation.

GCF(82309,82319) = 1
LCM(82309,82319) = ( 82309 × 82319) / 1
LCM(82309,82319) = 6775594571 / 1
LCM(82309,82319) = 6775594571

Least Common Multiple (LCM) of 82309 and 82319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82309 and 82319. First we will calculate the prime factors of 82309 and 82319.

Prime Factorization of 82309

Prime Factorization of 82319

Now multiplying the highest exponent prime factors to calculate the LCM of 82309 and 82319.

LCM(82309,82319) = 53¹ × 1553¹ × 263¹ × 313¹
LCM(82309,82319) = 6775594571