What is the Least Common Multiple of 8872 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 of 8872 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 8872 and 8878, than apply into the LCM equation.

GCF(8872,8878) = 2
LCM(8872,8878) = ( 8872 × 8878) / 2
LCM(8872,8878) = 78765616 / 2
LCM(8872,8878) = 39382808

Least Common Multiple (LCM) of 8872 and 8878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8872 and 8878. First we will calculate the prime factors of 8872 and 8878.

Prime Factorization of 8872

Prime Factorization of 8878

Now multiplying the highest exponent prime factors to calculate the LCM of 8872 and 8878.

LCM(8872,8878) = 2³ × 1109¹ × 23¹ × 193¹
LCM(8872,8878) = 39382808