What is the Least Common Multiple of 81369 and 81386?

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 81369 and 81386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81369 and 81386, than apply into the LCM equation.

GCF(81369,81386) = 1
LCM(81369,81386) = ( 81369 × 81386) / 1
LCM(81369,81386) = 6622297434 / 1
LCM(81369,81386) = 6622297434

Least Common Multiple (LCM) of 81369 and 81386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81369 and 81386. First we will calculate the prime factors of 81369 and 81386.

Prime Factorization of 81369

Prime Factorization of 81386

Now multiplying the highest exponent prime factors to calculate the LCM of 81369 and 81386.

LCM(81369,81386) = 3² × 9041¹ × 2¹ × 40693¹
LCM(81369,81386) = 6622297434