What is the Least Common Multiple of 9905 and 9909?

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 9905 and 9909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9905 and 9909, than apply into the LCM equation.

GCF(9905,9909) = 1
LCM(9905,9909) = ( 9905 × 9909) / 1
LCM(9905,9909) = 98148645 / 1
LCM(9905,9909) = 98148645

Least Common Multiple (LCM) of 9905 and 9909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9905 and 9909. First we will calculate the prime factors of 9905 and 9909.

Prime Factorization of 9905

Prime Factorization of 9909

Now multiplying the highest exponent prime factors to calculate the LCM of 9905 and 9909.

LCM(9905,9909) = 5¹ × 7¹ × 283¹ × 3³ × 367¹
LCM(9905,9909) = 98148645