What is the Least Common Multiple of 57258 and 57275?

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 57258 and 57275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57258 and 57275, than apply into the LCM equation.

GCF(57258,57275) = 1
LCM(57258,57275) = ( 57258 × 57275) / 1
LCM(57258,57275) = 3279451950 / 1
LCM(57258,57275) = 3279451950

Least Common Multiple (LCM) of 57258 and 57275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57258 and 57275. First we will calculate the prime factors of 57258 and 57275.

Prime Factorization of 57258

Prime Factorization of 57275

Now multiplying the highest exponent prime factors to calculate the LCM of 57258 and 57275.

LCM(57258,57275) = 2¹ × 3² × 3181¹ × 5² × 29¹ × 79¹
LCM(57258,57275) = 3279451950