What is the Least Common Multiple of 81171 and 81179?

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 81171 and 81179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81171 and 81179, than apply into the LCM equation.

GCF(81171,81179) = 1
LCM(81171,81179) = ( 81171 × 81179) / 1
LCM(81171,81179) = 6589380609 / 1
LCM(81171,81179) = 6589380609

Least Common Multiple (LCM) of 81171 and 81179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81171 and 81179. First we will calculate the prime factors of 81171 and 81179.

Prime Factorization of 81171

Prime Factorization of 81179

Now multiplying the highest exponent prime factors to calculate the LCM of 81171 and 81179.

LCM(81171,81179) = 3² × 29¹ × 311¹ × 7¹ × 11597¹
LCM(81171,81179) = 6589380609