What is the Least Common Multiple of 82359 and 82378?

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 82359 and 82378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82359 and 82378, than apply into the LCM equation.

GCF(82359,82378) = 1
LCM(82359,82378) = ( 82359 × 82378) / 1
LCM(82359,82378) = 6784569702 / 1
LCM(82359,82378) = 6784569702

Least Common Multiple (LCM) of 82359 and 82378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82359 and 82378. First we will calculate the prime factors of 82359 and 82378.

Prime Factorization of 82359

Prime Factorization of 82378

Now multiplying the highest exponent prime factors to calculate the LCM of 82359 and 82378.

LCM(82359,82378) = 3² × 9151¹ × 2¹ × 41189¹
LCM(82359,82378) = 6784569702