What is the Least Common Multiple of 96891 and 96897?

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 96891 and 96897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96891 and 96897, than apply into the LCM equation.

GCF(96891,96897) = 3
LCM(96891,96897) = ( 96891 × 96897) / 3
LCM(96891,96897) = 9388447227 / 3
LCM(96891,96897) = 3129482409

Least Common Multiple (LCM) of 96891 and 96897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96891 and 96897. First we will calculate the prime factors of 96891 and 96897.

Prime Factorization of 96891

Prime Factorization of 96897

Now multiplying the highest exponent prime factors to calculate the LCM of 96891 and 96897.

LCM(96891,96897) = 3¹ × 32297¹ × 32299¹
LCM(96891,96897) = 3129482409