What is the Least Common Multiple of 9876 and 9891?

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 9876 and 9891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9876 and 9891, than apply into the LCM equation.

GCF(9876,9891) = 3
LCM(9876,9891) = ( 9876 × 9891) / 3
LCM(9876,9891) = 97683516 / 3
LCM(9876,9891) = 32561172

Least Common Multiple (LCM) of 9876 and 9891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9876 and 9891. First we will calculate the prime factors of 9876 and 9891.

Prime Factorization of 9876

Prime Factorization of 9891

Now multiplying the highest exponent prime factors to calculate the LCM of 9876 and 9891.

LCM(9876,9891) = 2² × 3² × 823¹ × 7¹ × 157¹
LCM(9876,9891) = 32561172