What is the Least Common Multiple of 80809 and 80829?

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 80809 and 80829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80809 and 80829, than apply into the LCM equation.

GCF(80809,80829) = 1
LCM(80809,80829) = ( 80809 × 80829) / 1
LCM(80809,80829) = 6531710661 / 1
LCM(80809,80829) = 6531710661

Least Common Multiple (LCM) of 80809 and 80829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80809 and 80829. First we will calculate the prime factors of 80809 and 80829.

Prime Factorization of 80809

Prime Factorization of 80829

Now multiplying the highest exponent prime factors to calculate the LCM of 80809 and 80829.

LCM(80809,80829) = 80809¹ × 3² × 7¹ × 1283¹
LCM(80809,80829) = 6531710661