What is the Least Common Multiple of 81519 and 81531?

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 81519 and 81531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81519 and 81531, than apply into the LCM equation.

GCF(81519,81531) = 3
LCM(81519,81531) = ( 81519 × 81531) / 3
LCM(81519,81531) = 6646325589 / 3
LCM(81519,81531) = 2215441863

Least Common Multiple (LCM) of 81519 and 81531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81519 and 81531. First we will calculate the prime factors of 81519 and 81531.

Prime Factorization of 81519

Prime Factorization of 81531

Now multiplying the highest exponent prime factors to calculate the LCM of 81519 and 81531.

LCM(81519,81531) = 3² × 29¹ × 937¹ × 9059¹
LCM(81519,81531) = 2215441863