What is the Least Common Multiple of 81291 and 81311?

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 81291 and 81311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81291 and 81311, than apply into the LCM equation.

GCF(81291,81311) = 1
LCM(81291,81311) = ( 81291 × 81311) / 1
LCM(81291,81311) = 6609852501 / 1
LCM(81291,81311) = 6609852501

Least Common Multiple (LCM) of 81291 and 81311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81291 and 81311. First we will calculate the prime factors of 81291 and 81311.

Prime Factorization of 81291

Prime Factorization of 81311

Now multiplying the highest exponent prime factors to calculate the LCM of 81291 and 81311.

LCM(81291,81311) = 3¹ × 7³ × 79¹ × 17¹ × 4783¹
LCM(81291,81311) = 6609852501