GCF and LCM Calculator Logo

What is the Least Common Multiple of 8862 and 8878?

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 8862 and 8878 is 39338418.

LCM(8862,8878) = 39338418

LCM Calculator and
and

Least Common Multiple of 8862 and 8878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8862 and 8878, than apply into the LCM equation.

GCF(8862,8878) = 2
LCM(8862,8878) = ( 8862 × 8878) / 2
LCM(8862,8878) = 78676836 / 2
LCM(8862,8878) = 39338418

Least Common Multiple (LCM) of 8862 and 8878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8862 and 8878. First we will calculate the prime factors of 8862 and 8878.

Prime Factorization of 8862

Prime factors of 8862 are 2, 3, 7, 211. Prime factorization of 8862 in exponential form is:

8862 = 21 × 31 × 71 × 2111

Prime Factorization of 8878

Prime factors of 8878 are 2, 23, 193. Prime factorization of 8878 in exponential form is:

8878 = 21 × 231 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 8862 and 8878.

LCM(8862,8878) = 21 × 31 × 71 × 2111 × 231 × 1931
LCM(8862,8878) = 39338418