What is the Least Common Multiple of 57849 and 57856?

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 57849 and 57856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57849 and 57856, than apply into the LCM equation.

GCF(57849,57856) = 1
LCM(57849,57856) = ( 57849 × 57856) / 1
LCM(57849,57856) = 3346911744 / 1
LCM(57849,57856) = 3346911744

Least Common Multiple (LCM) of 57849 and 57856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57849 and 57856. First we will calculate the prime factors of 57849 and 57856.

Prime Factorization of 57849

Prime Factorization of 57856

Now multiplying the highest exponent prime factors to calculate the LCM of 57849 and 57856.

LCM(57849,57856) = 3¹ × 11¹ × 1753¹ × 2⁹ × 113¹
LCM(57849,57856) = 3346911744