What is the Least Common Multiple of 82399 and 82416?

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 82399 and 82416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82399 and 82416, than apply into the LCM equation.

GCF(82399,82416) = 17
LCM(82399,82416) = ( 82399 × 82416) / 17
LCM(82399,82416) = 6790995984 / 17
LCM(82399,82416) = 399470352

Least Common Multiple (LCM) of 82399 and 82416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82399 and 82416. First we will calculate the prime factors of 82399 and 82416.

Prime Factorization of 82399

Prime Factorization of 82416

Now multiplying the highest exponent prime factors to calculate the LCM of 82399 and 82416.

LCM(82399,82416) = 17¹ × 37¹ × 131¹ × 2⁴ × 3¹ × 101¹
LCM(82399,82416) = 399470352