What is the Least Common Multiple of 81426 and 81441?

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 81426 and 81441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81426 and 81441, than apply into the LCM equation.

GCF(81426,81441) = 3
LCM(81426,81441) = ( 81426 × 81441) / 3
LCM(81426,81441) = 6631414866 / 3
LCM(81426,81441) = 2210471622

Least Common Multiple (LCM) of 81426 and 81441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81426 and 81441. First we will calculate the prime factors of 81426 and 81441.

Prime Factorization of 81426

Prime Factorization of 81441

Now multiplying the highest exponent prime factors to calculate the LCM of 81426 and 81441.

LCM(81426,81441) = 2¹ × 3² × 41¹ × 331¹ × 9049¹
LCM(81426,81441) = 2210471622