What is the Least Common Multiple of 82784 and 82804?

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 82784 and 82804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82784 and 82804, than apply into the LCM equation.

GCF(82784,82804) = 4
LCM(82784,82804) = ( 82784 × 82804) / 4
LCM(82784,82804) = 6854846336 / 4
LCM(82784,82804) = 1713711584

Least Common Multiple (LCM) of 82784 and 82804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82784 and 82804. First we will calculate the prime factors of 82784 and 82804.

Prime Factorization of 82784

Prime Factorization of 82804

Now multiplying the highest exponent prime factors to calculate the LCM of 82784 and 82804.

LCM(82784,82804) = 2⁵ × 13¹ × 199¹ × 127¹ × 163¹
LCM(82784,82804) = 1713711584