GCF and LCM Calculator Logo

What is the Least Common Multiple of 10004 and 10009?

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 10004 and 10009 is 100130036.

LCM(10004,10009) = 100130036

LCM Calculator and
and

Least Common Multiple of 10004 and 10009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10004 and 10009, than apply into the LCM equation.

GCF(10004,10009) = 1
LCM(10004,10009) = ( 10004 × 10009) / 1
LCM(10004,10009) = 100130036 / 1
LCM(10004,10009) = 100130036

Least Common Multiple (LCM) of 10004 and 10009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10004 and 10009. First we will calculate the prime factors of 10004 and 10009.

Prime Factorization of 10004

Prime factors of 10004 are 2, 41, 61. Prime factorization of 10004 in exponential form is:

10004 = 22 × 411 × 611

Prime Factorization of 10009

Prime factors of 10009 are 10009. Prime factorization of 10009 in exponential form is:

10009 = 100091

Now multiplying the highest exponent prime factors to calculate the LCM of 10004 and 10009.

LCM(10004,10009) = 22 × 411 × 611 × 100091
LCM(10004,10009) = 100130036