What is the Least Common Multiple of 82336 and 82354?

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 82354 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 82354, than apply into the LCM equation.

GCF(82336,82354) = 2
LCM(82336,82354) = ( 82336 × 82354) / 2
LCM(82336,82354) = 6780698944 / 2
LCM(82336,82354) = 3390349472

Least Common Multiple (LCM) of 82336 and 82354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82336 and 82354. First we will calculate the prime factors of 82336 and 82354.

Prime Factorization of 82336

Prime Factorization of 82354

Now multiplying the highest exponent prime factors to calculate the LCM of 82336 and 82354.

LCM(82336,82354) = 2⁵ × 31¹ × 83¹ × 41177¹
LCM(82336,82354) = 3390349472