What is the Least Common Multiple of 9909 and 9916?

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 9909 and 9916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9909 and 9916, than apply into the LCM equation.

GCF(9909,9916) = 1
LCM(9909,9916) = ( 9909 × 9916) / 1
LCM(9909,9916) = 98257644 / 1
LCM(9909,9916) = 98257644

Least Common Multiple (LCM) of 9909 and 9916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9909 and 9916. First we will calculate the prime factors of 9909 and 9916.

Prime Factorization of 9909

Prime Factorization of 9916

Now multiplying the highest exponent prime factors to calculate the LCM of 9909 and 9916.

LCM(9909,9916) = 3³ × 367¹ × 2² × 37¹ × 67¹
LCM(9909,9916) = 98257644