What is the Least Common Multiple of 83259 and 83271?

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 83259 and 83271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83259 and 83271, than apply into the LCM equation.

GCF(83259,83271) = 3
LCM(83259,83271) = ( 83259 × 83271) / 3
LCM(83259,83271) = 6933060189 / 3
LCM(83259,83271) = 2311020063

Least Common Multiple (LCM) of 83259 and 83271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83259 and 83271. First we will calculate the prime factors of 83259 and 83271.

Prime Factorization of 83259

Prime Factorization of 83271

Now multiplying the highest exponent prime factors to calculate the LCM of 83259 and 83271.

LCM(83259,83271) = 3² × 11¹ × 29² × 41¹ × 677¹
LCM(83259,83271) = 2311020063