What is the Least Common Multiple of 43845 and 43857?

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 43845 and 43857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43845 and 43857, than apply into the LCM equation.

GCF(43845,43857) = 3
LCM(43845,43857) = ( 43845 × 43857) / 3
LCM(43845,43857) = 1922910165 / 3
LCM(43845,43857) = 640970055

Least Common Multiple (LCM) of 43845 and 43857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43845 and 43857. First we will calculate the prime factors of 43845 and 43857.

Prime Factorization of 43845

Prime Factorization of 43857

Now multiplying the highest exponent prime factors to calculate the LCM of 43845 and 43857.

LCM(43845,43857) = 3² × 5¹ × 37¹ × 79¹ × 11¹ × 443¹
LCM(43845,43857) = 640970055