What is the Least Common Multiple of 82336 and 82345?

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 82336 and 82345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82336 and 82345, than apply into the LCM equation.

GCF(82336,82345) = 1
LCM(82336,82345) = ( 82336 × 82345) / 1
LCM(82336,82345) = 6779957920 / 1
LCM(82336,82345) = 6779957920

Least Common Multiple (LCM) of 82336 and 82345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82336 and 82345. First we will calculate the prime factors of 82336 and 82345.

Prime Factorization of 82336

Prime Factorization of 82345

Now multiplying the highest exponent prime factors to calculate the LCM of 82336 and 82345.

LCM(82336,82345) = 2⁵ × 31¹ × 83¹ × 5¹ × 43¹ × 383¹
LCM(82336,82345) = 6779957920