What is the Least Common Multiple of 57314 and 57329?

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 57314 and 57329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57314 and 57329, than apply into the LCM equation.

GCF(57314,57329) = 1
LCM(57314,57329) = ( 57314 × 57329) / 1
LCM(57314,57329) = 3285754306 / 1
LCM(57314,57329) = 3285754306

Least Common Multiple (LCM) of 57314 and 57329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57314 and 57329. First we will calculate the prime factors of 57314 and 57329.

Prime Factorization of 57314

Prime Factorization of 57329

Now multiplying the highest exponent prime factors to calculate the LCM of 57314 and 57329.

LCM(57314,57329) = 2¹ × 28657¹ × 57329¹
LCM(57314,57329) = 3285754306