What is the Least Common Multiple of 82304 and 82309?

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 82304 and 82309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82304 and 82309, than apply into the LCM equation.

GCF(82304,82309) = 1
LCM(82304,82309) = ( 82304 × 82309) / 1
LCM(82304,82309) = 6774359936 / 1
LCM(82304,82309) = 6774359936

Least Common Multiple (LCM) of 82304 and 82309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82304 and 82309. First we will calculate the prime factors of 82304 and 82309.

Prime Factorization of 82304

Prime Factorization of 82309

Now multiplying the highest exponent prime factors to calculate the LCM of 82304 and 82309.

LCM(82304,82309) = 2⁷ × 643¹ × 53¹ × 1553¹
LCM(82304,82309) = 6774359936