What is the Least Common Multiple of 3872 and 3878?

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 3872 and 3878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3872 and 3878, than apply into the LCM equation.

GCF(3872,3878) = 2
LCM(3872,3878) = ( 3872 × 3878) / 2
LCM(3872,3878) = 15015616 / 2
LCM(3872,3878) = 7507808

Least Common Multiple (LCM) of 3872 and 3878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3872 and 3878. First we will calculate the prime factors of 3872 and 3878.

Prime Factorization of 3872

Prime Factorization of 3878

Now multiplying the highest exponent prime factors to calculate the LCM of 3872 and 3878.

LCM(3872,3878) = 2⁵ × 11² × 7¹ × 277¹
LCM(3872,3878) = 7507808