What is the Least Common Multiple of 46375 and 46379?

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 46375 and 46379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46375 and 46379, than apply into the LCM equation.

GCF(46375,46379) = 1
LCM(46375,46379) = ( 46375 × 46379) / 1
LCM(46375,46379) = 2150826125 / 1
LCM(46375,46379) = 2150826125

Least Common Multiple (LCM) of 46375 and 46379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46375 and 46379. First we will calculate the prime factors of 46375 and 46379.

Prime Factorization of 46375

Prime Factorization of 46379

Now multiplying the highest exponent prime factors to calculate the LCM of 46375 and 46379.

LCM(46375,46379) = 5³ × 7¹ × 53¹ × 19¹ × 2441¹
LCM(46375,46379) = 2150826125