What is the Least Common Multiple of 96873 and 96891?

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 96873 and 96891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96873 and 96891, than apply into the LCM equation.

GCF(96873,96891) = 3
LCM(96873,96891) = ( 96873 × 96891) / 3
LCM(96873,96891) = 9386121843 / 3
LCM(96873,96891) = 3128707281

Least Common Multiple (LCM) of 96873 and 96891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96873 and 96891. First we will calculate the prime factors of 96873 and 96891.

Prime Factorization of 96873

Prime Factorization of 96891

Now multiplying the highest exponent prime factors to calculate the LCM of 96873 and 96891.

LCM(96873,96891) = 3¹ × 7² × 659¹ × 32297¹
LCM(96873,96891) = 3128707281