What is the Least Common Multiple of 81459 and 81477?

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 81459 and 81477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81459 and 81477, than apply into the LCM equation.

GCF(81459,81477) = 9
LCM(81459,81477) = ( 81459 × 81477) / 9
LCM(81459,81477) = 6637034943 / 9
LCM(81459,81477) = 737448327

Least Common Multiple (LCM) of 81459 and 81477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81459 and 81477. First we will calculate the prime factors of 81459 and 81477.

Prime Factorization of 81459

Prime Factorization of 81477

Now multiplying the highest exponent prime factors to calculate the LCM of 81459 and 81477.

LCM(81459,81477) = 3³ × 7¹ × 431¹ × 11¹ × 823¹
LCM(81459,81477) = 737448327