What is the Least Common Multiple of 82804 and 82808?

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 82804 and 82808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82804 and 82808, than apply into the LCM equation.

GCF(82804,82808) = 4
LCM(82804,82808) = ( 82804 × 82808) / 4
LCM(82804,82808) = 6856833632 / 4
LCM(82804,82808) = 1714208408

Least Common Multiple (LCM) of 82804 and 82808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82804 and 82808. First we will calculate the prime factors of 82804 and 82808.

Prime Factorization of 82804

Prime Factorization of 82808

Now multiplying the highest exponent prime factors to calculate the LCM of 82804 and 82808.

LCM(82804,82808) = 2³ × 127¹ × 163¹ × 11¹ × 941¹
LCM(82804,82808) = 1714208408