GCF and LCM Calculator Logo

What is the Least Common Multiple of 8870 and 8880?

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 8870 and 8880 is 7876560.

LCM(8870,8880) = 7876560

LCM Calculator and
and

Least Common Multiple of 8870 and 8880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8870 and 8880, than apply into the LCM equation.

GCF(8870,8880) = 10
LCM(8870,8880) = ( 8870 × 8880) / 10
LCM(8870,8880) = 78765600 / 10
LCM(8870,8880) = 7876560

Least Common Multiple (LCM) of 8870 and 8880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8870 and 8880. First we will calculate the prime factors of 8870 and 8880.

Prime Factorization of 8870

Prime factors of 8870 are 2, 5, 887. Prime factorization of 8870 in exponential form is:

8870 = 21 × 51 × 8871

Prime Factorization of 8880

Prime factors of 8880 are 2, 3, 5, 37. Prime factorization of 8880 in exponential form is:

8880 = 24 × 31 × 51 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 8870 and 8880.

LCM(8870,8880) = 24 × 51 × 8871 × 31 × 371
LCM(8870,8880) = 7876560