GCF and LCM Calculator Logo

What is the Least Common Multiple of 10095 and 10104?

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 10095 and 10104 is 33999960.

LCM(10095,10104) = 33999960

LCM Calculator and
and

Least Common Multiple of 10095 and 10104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10095 and 10104, than apply into the LCM equation.

GCF(10095,10104) = 3
LCM(10095,10104) = ( 10095 × 10104) / 3
LCM(10095,10104) = 101999880 / 3
LCM(10095,10104) = 33999960

Least Common Multiple (LCM) of 10095 and 10104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10095 and 10104. First we will calculate the prime factors of 10095 and 10104.

Prime Factorization of 10095

Prime factors of 10095 are 3, 5, 673. Prime factorization of 10095 in exponential form is:

10095 = 31 × 51 × 6731

Prime Factorization of 10104

Prime factors of 10104 are 2, 3, 421. Prime factorization of 10104 in exponential form is:

10104 = 23 × 31 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 10095 and 10104.

LCM(10095,10104) = 31 × 51 × 6731 × 23 × 4211
LCM(10095,10104) = 33999960