What is the Least Common Multiple of 57728 and 57748?

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 57748 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 57748, than apply into the LCM equation.

GCF(57728,57748) = 4
LCM(57728,57748) = ( 57728 × 57748) / 4
LCM(57728,57748) = 3333676544 / 4
LCM(57728,57748) = 833419136

Least Common Multiple (LCM) of 57728 and 57748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57728 and 57748. First we will calculate the prime factors of 57728 and 57748.

Prime Factorization of 57728

Prime Factorization of 57748

Now multiplying the highest exponent prime factors to calculate the LCM of 57728 and 57748.

LCM(57728,57748) = 2⁷ × 11¹ × 41¹ × 14437¹
LCM(57728,57748) = 833419136