What is the Least Common Multiple of 57856 and 57862?

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 57856 and 57862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57856 and 57862, than apply into the LCM equation.

GCF(57856,57862) = 2
LCM(57856,57862) = ( 57856 × 57862) / 2
LCM(57856,57862) = 3347663872 / 2
LCM(57856,57862) = 1673831936

Least Common Multiple (LCM) of 57856 and 57862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57856 and 57862. First we will calculate the prime factors of 57856 and 57862.

Prime Factorization of 57856

Prime Factorization of 57862

Now multiplying the highest exponent prime factors to calculate the LCM of 57856 and 57862.

LCM(57856,57862) = 2⁹ × 113¹ × 7¹ × 4133¹
LCM(57856,57862) = 1673831936