What is the Least Common Multiple of 81399 and 81418?

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 81399 and 81418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81399 and 81418, than apply into the LCM equation.

GCF(81399,81418) = 1
LCM(81399,81418) = ( 81399 × 81418) / 1
LCM(81399,81418) = 6627343782 / 1
LCM(81399,81418) = 6627343782

Least Common Multiple (LCM) of 81399 and 81418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81399 and 81418. First we will calculate the prime factors of 81399 and 81418.

Prime Factorization of 81399

Prime Factorization of 81418

Now multiplying the highest exponent prime factors to calculate the LCM of 81399 and 81418.

LCM(81399,81418) = 3¹ × 43¹ × 631¹ × 2¹ × 40709¹
LCM(81399,81418) = 6627343782