What is the Least Common Multiple of 9901 and 9911?

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 9901 and 9911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9901 and 9911, than apply into the LCM equation.

GCF(9901,9911) = 1
LCM(9901,9911) = ( 9901 × 9911) / 1
LCM(9901,9911) = 98128811 / 1
LCM(9901,9911) = 98128811

Least Common Multiple (LCM) of 9901 and 9911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9901 and 9911. First we will calculate the prime factors of 9901 and 9911.

Prime Factorization of 9901

Prime Factorization of 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 9901 and 9911.

LCM(9901,9911) = 9901¹ × 11¹ × 17¹ × 53¹
LCM(9901,9911) = 98128811