What is the Least Common Multiple of 81809 and 81813?

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 81809 and 81813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81809 and 81813, than apply into the LCM equation.

GCF(81809,81813) = 1
LCM(81809,81813) = ( 81809 × 81813) / 1
LCM(81809,81813) = 6693039717 / 1
LCM(81809,81813) = 6693039717

Least Common Multiple (LCM) of 81809 and 81813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81809 and 81813. First we will calculate the prime factors of 81809 and 81813.

Prime Factorization of 81809

Prime Factorization of 81813

Now multiplying the highest exponent prime factors to calculate the LCM of 81809 and 81813.

LCM(81809,81813) = 7¹ × 13¹ × 29¹ × 31¹ × 3¹ × 27271¹
LCM(81809,81813) = 6693039717