What is the Least Common Multiple of 80829 and 80838?

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 80829 and 80838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80829 and 80838, than apply into the LCM equation.

GCF(80829,80838) = 9
LCM(80829,80838) = ( 80829 × 80838) / 9
LCM(80829,80838) = 6534054702 / 9
LCM(80829,80838) = 726006078

Least Common Multiple (LCM) of 80829 and 80838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80829 and 80838. First we will calculate the prime factors of 80829 and 80838.

Prime Factorization of 80829

Prime Factorization of 80838

Now multiplying the highest exponent prime factors to calculate the LCM of 80829 and 80838.

LCM(80829,80838) = 3⁴ × 7¹ × 1283¹ × 2¹ × 499¹
LCM(80829,80838) = 726006078