What is the Least Common Multiple of 81311 and 81319?

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 81311 and 81319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81311 and 81319, than apply into the LCM equation.

GCF(81311,81319) = 1
LCM(81311,81319) = ( 81311 × 81319) / 1
LCM(81311,81319) = 6612129209 / 1
LCM(81311,81319) = 6612129209

Least Common Multiple (LCM) of 81311 and 81319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81311 and 81319. First we will calculate the prime factors of 81311 and 81319.

Prime Factorization of 81311

Prime Factorization of 81319

Now multiplying the highest exponent prime factors to calculate the LCM of 81311 and 81319.

LCM(81311,81319) = 17¹ × 4783¹ × 7¹ × 11617¹
LCM(81311,81319) = 6612129209