What is the Least Common Multiple of 46125 and 46143?

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 46125 and 46143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46125 and 46143, than apply into the LCM equation.

GCF(46125,46143) = 9
LCM(46125,46143) = ( 46125 × 46143) / 9
LCM(46125,46143) = 2128345875 / 9
LCM(46125,46143) = 236482875

Least Common Multiple (LCM) of 46125 and 46143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46125 and 46143. First we will calculate the prime factors of 46125 and 46143.

Prime Factorization of 46125

Prime Factorization of 46143

Now multiplying the highest exponent prime factors to calculate the LCM of 46125 and 46143.

LCM(46125,46143) = 3³ × 5³ × 41¹ × 1709¹
LCM(46125,46143) = 236482875