What is the Least Common Multiple of 43857 and 43872?

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 43857 and 43872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43857 and 43872, than apply into the LCM equation.

GCF(43857,43872) = 3
LCM(43857,43872) = ( 43857 × 43872) / 3
LCM(43857,43872) = 1924094304 / 3
LCM(43857,43872) = 641364768

Least Common Multiple (LCM) of 43857 and 43872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43857 and 43872. First we will calculate the prime factors of 43857 and 43872.

Prime Factorization of 43857

Prime Factorization of 43872

Now multiplying the highest exponent prime factors to calculate the LCM of 43857 and 43872.

LCM(43857,43872) = 3² × 11¹ × 443¹ × 2⁵ × 457¹
LCM(43857,43872) = 641364768