What is the Least Common Multiple of 9891 and 9905?

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 9891 and 9905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9891 and 9905, than apply into the LCM equation.

GCF(9891,9905) = 7
LCM(9891,9905) = ( 9891 × 9905) / 7
LCM(9891,9905) = 97970355 / 7
LCM(9891,9905) = 13995765

Least Common Multiple (LCM) of 9891 and 9905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9891 and 9905. First we will calculate the prime factors of 9891 and 9905.

Prime Factorization of 9891

Prime Factorization of 9905

Now multiplying the highest exponent prime factors to calculate the LCM of 9891 and 9905.

LCM(9891,9905) = 3² × 7¹ × 157¹ × 5¹ × 283¹
LCM(9891,9905) = 13995765