What is the Least Common Multiple of 82316 and 82336?

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 82316 and 82336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82316 and 82336, than apply into the LCM equation.

GCF(82316,82336) = 4
LCM(82316,82336) = ( 82316 × 82336) / 4
LCM(82316,82336) = 6777570176 / 4
LCM(82316,82336) = 1694392544

Least Common Multiple (LCM) of 82316 and 82336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82316 and 82336. First we will calculate the prime factors of 82316 and 82336.

Prime Factorization of 82316

Prime Factorization of 82336

Now multiplying the highest exponent prime factors to calculate the LCM of 82316 and 82336.

LCM(82316,82336) = 2⁵ × 13¹ × 1583¹ × 31¹ × 83¹
LCM(82316,82336) = 1694392544