What is the Least Common Multiple of 57856 and 57874?

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 57874 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 57874, than apply into the LCM equation.

GCF(57856,57874) = 2
LCM(57856,57874) = ( 57856 × 57874) / 2
LCM(57856,57874) = 3348358144 / 2
LCM(57856,57874) = 1674179072

Least Common Multiple (LCM) of 57856 and 57874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57856 and 57874. First we will calculate the prime factors of 57856 and 57874.

Prime Factorization of 57856

Prime Factorization of 57874

Now multiplying the highest exponent prime factors to calculate the LCM of 57856 and 57874.

LCM(57856,57874) = 2⁹ × 113¹ × 19¹ × 1523¹
LCM(57856,57874) = 1674179072