What is the Least Common Multiple of 81819 and 81831?

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 81819 and 81831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81819 and 81831, than apply into the LCM equation.

GCF(81819,81831) = 3
LCM(81819,81831) = ( 81819 × 81831) / 3
LCM(81819,81831) = 6695330589 / 3
LCM(81819,81831) = 2231776863

Least Common Multiple (LCM) of 81819 and 81831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81819 and 81831. First we will calculate the prime factors of 81819 and 81831.

Prime Factorization of 81819

Prime Factorization of 81831

Now multiplying the highest exponent prime factors to calculate the LCM of 81819 and 81831.

LCM(81819,81831) = 3² × 9091¹ × 27277¹
LCM(81819,81831) = 2231776863