What is the Least Common Multiple of 82309 and 82322?

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 82322 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 82322, than apply into the LCM equation.

GCF(82309,82322) = 1
LCM(82309,82322) = ( 82309 × 82322) / 1
LCM(82309,82322) = 6775841498 / 1
LCM(82309,82322) = 6775841498

Least Common Multiple (LCM) of 82309 and 82322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82309 and 82322. First we will calculate the prime factors of 82309 and 82322.

Prime Factorization of 82309

Prime Factorization of 82322

Now multiplying the highest exponent prime factors to calculate the LCM of 82309 and 82322.

LCM(82309,82322) = 53¹ × 1553¹ × 2¹ × 41161¹
LCM(82309,82322) = 6775841498