What is the Least Common Multiple of 872 and 878?

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 872 and 878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 872 and 878, than apply into the LCM equation.

GCF(872,878) = 2
LCM(872,878) = ( 872 × 878) / 2
LCM(872,878) = 765616 / 2
LCM(872,878) = 382808

Least Common Multiple (LCM) of 872 and 878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 872 and 878. First we will calculate the prime factors of 872 and 878.

Prime Factorization of 872

Prime Factorization of 878

Now multiplying the highest exponent prime factors to calculate the LCM of 872 and 878.

LCM(872,878) = 2³ × 109¹ × 439¹
LCM(872,878) = 382808