What is the Least Common Multiple of 57728 and 57734?

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 57728 and 57734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57728 and 57734, than apply into the LCM equation.

GCF(57728,57734) = 2
LCM(57728,57734) = ( 57728 × 57734) / 2
LCM(57728,57734) = 3332868352 / 2
LCM(57728,57734) = 1666434176

Least Common Multiple (LCM) of 57728 and 57734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57728 and 57734. First we will calculate the prime factors of 57728 and 57734.

Prime Factorization of 57728

Prime Factorization of 57734

Now multiplying the highest exponent prime factors to calculate the LCM of 57728 and 57734.

LCM(57728,57734) = 2⁷ × 11¹ × 41¹ × 28867¹
LCM(57728,57734) = 1666434176