What is the Least Common Multiple of 46112 and 46125?

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 46112 and 46125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46112 and 46125, than apply into the LCM equation.

GCF(46112,46125) = 1
LCM(46112,46125) = ( 46112 × 46125) / 1
LCM(46112,46125) = 2126916000 / 1
LCM(46112,46125) = 2126916000

Least Common Multiple (LCM) of 46112 and 46125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46112 and 46125. First we will calculate the prime factors of 46112 and 46125.

Prime Factorization of 46112

Prime Factorization of 46125

Now multiplying the highest exponent prime factors to calculate the LCM of 46112 and 46125.

LCM(46112,46125) = 2⁵ × 11¹ × 131¹ × 3² × 5³ × 41¹
LCM(46112,46125) = 2126916000