What is the Least Common Multiple of 3864 and 3873?

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 3864 and 3873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3864 and 3873, than apply into the LCM equation.

GCF(3864,3873) = 3
LCM(3864,3873) = ( 3864 × 3873) / 3
LCM(3864,3873) = 14965272 / 3
LCM(3864,3873) = 4988424

Least Common Multiple (LCM) of 3864 and 3873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3864 and 3873. First we will calculate the prime factors of 3864 and 3873.

Prime Factorization of 3864

Prime Factorization of 3873

Now multiplying the highest exponent prime factors to calculate the LCM of 3864 and 3873.

LCM(3864,3873) = 2³ × 3¹ × 7¹ × 23¹ × 1291¹
LCM(3864,3873) = 4988424