What is the Least Common Multiple of 57321 and 57338?

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 57321 and 57338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57321 and 57338, than apply into the LCM equation.

GCF(57321,57338) = 1
LCM(57321,57338) = ( 57321 × 57338) / 1
LCM(57321,57338) = 3286671498 / 1
LCM(57321,57338) = 3286671498

Least Common Multiple (LCM) of 57321 and 57338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57321 and 57338. First we will calculate the prime factors of 57321 and 57338.

Prime Factorization of 57321

Prime Factorization of 57338

Now multiplying the highest exponent prime factors to calculate the LCM of 57321 and 57338.

LCM(57321,57338) = 3³ × 11¹ × 193¹ × 2¹ × 28669¹
LCM(57321,57338) = 3286671498