GCF and LCM Calculator Logo

What is the Least Common Multiple of 9989 and 10006?

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 (LCM) of 9989 and 10006 is 99949934.

LCM(9989,10006) = 99949934

LCM Calculator and
and

Least Common Multiple of 9989 and 10006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9989 and 10006, than apply into the LCM equation.

GCF(9989,10006) = 1
LCM(9989,10006) = ( 9989 × 10006) / 1
LCM(9989,10006) = 99949934 / 1
LCM(9989,10006) = 99949934

Least Common Multiple (LCM) of 9989 and 10006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9989 and 10006. First we will calculate the prime factors of 9989 and 10006.

Prime Factorization of 9989

Prime factors of 9989 are 7, 1427. Prime factorization of 9989 in exponential form is:

9989 = 71 × 14271

Prime Factorization of 10006

Prime factors of 10006 are 2, 5003. Prime factorization of 10006 in exponential form is:

10006 = 21 × 50031

Now multiplying the highest exponent prime factors to calculate the LCM of 9989 and 10006.

LCM(9989,10006) = 71 × 14271 × 21 × 50031
LCM(9989,10006) = 99949934