What is the Least Common Multiple of 82325 and 82339?

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 82325 and 82339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82325 and 82339, than apply into the LCM equation.

GCF(82325,82339) = 1
LCM(82325,82339) = ( 82325 × 82339) / 1
LCM(82325,82339) = 6778558175 / 1
LCM(82325,82339) = 6778558175

Least Common Multiple (LCM) of 82325 and 82339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82325 and 82339. First we will calculate the prime factors of 82325 and 82339.

Prime Factorization of 82325

Prime Factorization of 82339

Now multiplying the highest exponent prime factors to calculate the LCM of 82325 and 82339.

LCM(82325,82339) = 5² × 37¹ × 89¹ × 82339¹
LCM(82325,82339) = 6778558175