What is the Least Common Multiple of 46359 and 46371?

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 46359 and 46371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46359 and 46371, than apply into the LCM equation.

GCF(46359,46371) = 3
LCM(46359,46371) = ( 46359 × 46371) / 3
LCM(46359,46371) = 2149713189 / 3
LCM(46359,46371) = 716571063

Least Common Multiple (LCM) of 46359 and 46371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46359 and 46371. First we will calculate the prime factors of 46359 and 46371.

Prime Factorization of 46359

Prime Factorization of 46371

Now multiplying the highest exponent prime factors to calculate the LCM of 46359 and 46371.

LCM(46359,46371) = 3³ × 17¹ × 101¹ × 13¹ × 29¹ × 41¹
LCM(46359,46371) = 716571063