What is the Least Common Multiple of 46125 and 46130?

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 46130 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 46130, than apply into the LCM equation.

GCF(46125,46130) = 5
LCM(46125,46130) = ( 46125 × 46130) / 5
LCM(46125,46130) = 2127746250 / 5
LCM(46125,46130) = 425549250

Least Common Multiple (LCM) of 46125 and 46130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46125 and 46130. First we will calculate the prime factors of 46125 and 46130.

Prime Factorization of 46125

Prime Factorization of 46130

Now multiplying the highest exponent prime factors to calculate the LCM of 46125 and 46130.

LCM(46125,46130) = 3² × 5³ × 41¹ × 2¹ × 7¹ × 659¹
LCM(46125,46130) = 425549250