What is the Least Common Multiple of 81823 and 81839?

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 81823 and 81839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81823 and 81839, than apply into the LCM equation.

GCF(81823,81839) = 1
LCM(81823,81839) = ( 81823 × 81839) / 1
LCM(81823,81839) = 6696312497 / 1
LCM(81823,81839) = 6696312497

Least Common Multiple (LCM) of 81823 and 81839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81823 and 81839. First we will calculate the prime factors of 81823 and 81839.

Prime Factorization of 81823

Prime Factorization of 81839

Now multiplying the highest exponent prime factors to calculate the LCM of 81823 and 81839.

LCM(81823,81839) = 7¹ × 11689¹ × 81839¹
LCM(81823,81839) = 6696312497