What is the Least Common Multiple of 46360 and 46375?

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 46360 and 46375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46360 and 46375, than apply into the LCM equation.

GCF(46360,46375) = 5
LCM(46360,46375) = ( 46360 × 46375) / 5
LCM(46360,46375) = 2149945000 / 5
LCM(46360,46375) = 429989000

Least Common Multiple (LCM) of 46360 and 46375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46360 and 46375. First we will calculate the prime factors of 46360 and 46375.

Prime Factorization of 46360

Prime Factorization of 46375

Now multiplying the highest exponent prime factors to calculate the LCM of 46360 and 46375.

LCM(46360,46375) = 2³ × 5³ × 19¹ × 61¹ × 7¹ × 53¹
LCM(46360,46375) = 429989000