What is the Least Common Multiple of 46375 and 46389?

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 46375 and 46389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46375 and 46389, than apply into the LCM equation.

GCF(46375,46389) = 7
LCM(46375,46389) = ( 46375 × 46389) / 7
LCM(46375,46389) = 2151289875 / 7
LCM(46375,46389) = 307327125

Least Common Multiple (LCM) of 46375 and 46389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46375 and 46389. First we will calculate the prime factors of 46375 and 46389.

Prime Factorization of 46375

Prime Factorization of 46389

Now multiplying the highest exponent prime factors to calculate the LCM of 46375 and 46389.

LCM(46375,46389) = 5³ × 7¹ × 53¹ × 3¹ × 47²
LCM(46375,46389) = 307327125