What is the Least Common Multiple of 57304 and 57317?

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 57304 and 57317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57304 and 57317, than apply into the LCM equation.

GCF(57304,57317) = 13
LCM(57304,57317) = ( 57304 × 57317) / 13
LCM(57304,57317) = 3284493368 / 13
LCM(57304,57317) = 252653336

Least Common Multiple (LCM) of 57304 and 57317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57304 and 57317. First we will calculate the prime factors of 57304 and 57317.

Prime Factorization of 57304

Prime Factorization of 57317

Now multiplying the highest exponent prime factors to calculate the LCM of 57304 and 57317.

LCM(57304,57317) = 2³ × 13¹ × 19¹ × 29¹ × 4409¹
LCM(57304,57317) = 252653336