What is the Least Common Multiple of 82336 and 82343?

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 82343 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 82343, than apply into the LCM equation.

GCF(82336,82343) = 1
LCM(82336,82343) = ( 82336 × 82343) / 1
LCM(82336,82343) = 6779793248 / 1
LCM(82336,82343) = 6779793248

Least Common Multiple (LCM) of 82336 and 82343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82336 and 82343. First we will calculate the prime factors of 82336 and 82343.

Prime Factorization of 82336

Prime Factorization of 82343

Now multiplying the highest exponent prime factors to calculate the LCM of 82336 and 82343.

LCM(82336,82343) = 2⁵ × 31¹ × 83¹ × 67¹ × 1229¹
LCM(82336,82343) = 6779793248