What is the Least Common Multiple of 80817 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 80817 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 80817 and 80829, than apply into the LCM equation.

GCF(80817,80829) = 3
LCM(80817,80829) = ( 80817 × 80829) / 3
LCM(80817,80829) = 6532357293 / 3
LCM(80817,80829) = 2177452431

Least Common Multiple (LCM) of 80817 and 80829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80817 and 80829. First we will calculate the prime factors of 80817 and 80829.

Prime Factorization of 80817

Prime Factorization of 80829

Now multiplying the highest exponent prime factors to calculate the LCM of 80817 and 80829.

LCM(80817,80829) = 3² × 11¹ × 31¹ × 79¹ × 7¹ × 1283¹
LCM(80817,80829) = 2177452431