What is the Least Common Multiple of 57710 and 57728?

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 57710 and 57728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57710 and 57728, than apply into the LCM equation.

GCF(57710,57728) = 2
LCM(57710,57728) = ( 57710 × 57728) / 2
LCM(57710,57728) = 3331482880 / 2
LCM(57710,57728) = 1665741440

Least Common Multiple (LCM) of 57710 and 57728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57710 and 57728. First we will calculate the prime factors of 57710 and 57728.

Prime Factorization of 57710

Prime Factorization of 57728

Now multiplying the highest exponent prime factors to calculate the LCM of 57710 and 57728.

LCM(57710,57728) = 2⁷ × 5¹ × 29¹ × 199¹ × 11¹ × 41¹
LCM(57710,57728) = 1665741440