What is the Least Common Multiple of 43857 and 43868?

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 43868 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 43868, than apply into the LCM equation.

GCF(43857,43868) = 11
LCM(43857,43868) = ( 43857 × 43868) / 11
LCM(43857,43868) = 1923918876 / 11
LCM(43857,43868) = 174901716

Least Common Multiple (LCM) of 43857 and 43868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43857 and 43868. First we will calculate the prime factors of 43857 and 43868.

Prime Factorization of 43857

Prime Factorization of 43868

Now multiplying the highest exponent prime factors to calculate the LCM of 43857 and 43868.

LCM(43857,43868) = 3² × 11¹ × 443¹ × 2² × 997¹
LCM(43857,43868) = 174901716