What is the Least Common Multiple of 81351 and 81363?

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 81351 and 81363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81351 and 81363, than apply into the LCM equation.

GCF(81351,81363) = 3
LCM(81351,81363) = ( 81351 × 81363) / 3
LCM(81351,81363) = 6618961413 / 3
LCM(81351,81363) = 2206320471

Least Common Multiple (LCM) of 81351 and 81363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81351 and 81363. First we will calculate the prime factors of 81351 and 81363.

Prime Factorization of 81351

Prime Factorization of 81363

Now multiplying the highest exponent prime factors to calculate the LCM of 81351 and 81363.

LCM(81351,81363) = 3³ × 23¹ × 131¹ × 37¹ × 733¹
LCM(81351,81363) = 2206320471