What is the Least Common Multiple of 57504 and 57511?

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 57504 and 57511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57504 and 57511, than apply into the LCM equation.

GCF(57504,57511) = 1
LCM(57504,57511) = ( 57504 × 57511) / 1
LCM(57504,57511) = 3307112544 / 1
LCM(57504,57511) = 3307112544

Least Common Multiple (LCM) of 57504 and 57511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57504 and 57511. First we will calculate the prime factors of 57504 and 57511.

Prime Factorization of 57504

Prime Factorization of 57511

Now multiplying the highest exponent prime factors to calculate the LCM of 57504 and 57511.

LCM(57504,57511) = 2⁵ × 3¹ × 599¹ × 17² × 199¹
LCM(57504,57511) = 3307112544