What is the Least Common Multiple of 81491 and 81511?

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 81491 and 81511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81491 and 81511, than apply into the LCM equation.

GCF(81491,81511) = 1
LCM(81491,81511) = ( 81491 × 81511) / 1
LCM(81491,81511) = 6642412901 / 1
LCM(81491,81511) = 6642412901

Least Common Multiple (LCM) of 81491 and 81511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81491 and 81511. First we will calculate the prime factors of 81491 and 81511.

Prime Factorization of 81491

Prime Factorization of 81511

Now multiplying the highest exponent prime factors to calculate the LCM of 81491 and 81511.

LCM(81491,81511) = 19¹ × 4289¹ × 37¹ × 2203¹
LCM(81491,81511) = 6642412901