GCF and LCM Calculator Logo

What is the Least Common Multiple of 8876 and 8894?

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 8876 and 8894 is 39471572.

LCM(8876,8894) = 39471572

LCM Calculator and
and

Least Common Multiple of 8876 and 8894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8876 and 8894, than apply into the LCM equation.

GCF(8876,8894) = 2
LCM(8876,8894) = ( 8876 × 8894) / 2
LCM(8876,8894) = 78943144 / 2
LCM(8876,8894) = 39471572

Least Common Multiple (LCM) of 8876 and 8894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8876 and 8894. First we will calculate the prime factors of 8876 and 8894.

Prime Factorization of 8876

Prime factors of 8876 are 2, 7, 317. Prime factorization of 8876 in exponential form is:

8876 = 22 × 71 × 3171

Prime Factorization of 8894

Prime factors of 8894 are 2, 4447. Prime factorization of 8894 in exponential form is:

8894 = 21 × 44471

Now multiplying the highest exponent prime factors to calculate the LCM of 8876 and 8894.

LCM(8876,8894) = 22 × 71 × 3171 × 44471
LCM(8876,8894) = 39471572