What is the Least Common Multiple of 46125 and 46137?

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 46137 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 46137, than apply into the LCM equation.

GCF(46125,46137) = 3
LCM(46125,46137) = ( 46125 × 46137) / 3
LCM(46125,46137) = 2128069125 / 3
LCM(46125,46137) = 709356375

Least Common Multiple (LCM) of 46125 and 46137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46125 and 46137. First we will calculate the prime factors of 46125 and 46137.

Prime Factorization of 46125

Prime Factorization of 46137

Now multiplying the highest exponent prime factors to calculate the LCM of 46125 and 46137.

LCM(46125,46137) = 3² × 5³ × 41¹ × 7¹ × 13³
LCM(46125,46137) = 709356375