What is the Least Common Multiple of 82809 and 82829?

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 82809 and 82829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82809 and 82829, than apply into the LCM equation.

GCF(82809,82829) = 1
LCM(82809,82829) = ( 82809 × 82829) / 1
LCM(82809,82829) = 6858986661 / 1
LCM(82809,82829) = 6858986661

Least Common Multiple (LCM) of 82809 and 82829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82809 and 82829. First we will calculate the prime factors of 82809 and 82829.

Prime Factorization of 82809

Prime Factorization of 82829

Now multiplying the highest exponent prime factors to calculate the LCM of 82809 and 82829.

LCM(82809,82829) = 3³ × 3067¹ × 113¹ × 733¹
LCM(82809,82829) = 6858986661