What is the Least Common Multiple of 46389 and 46404?

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 46389 and 46404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46389 and 46404, than apply into the LCM equation.

GCF(46389,46404) = 3
LCM(46389,46404) = ( 46389 × 46404) / 3
LCM(46389,46404) = 2152635156 / 3
LCM(46389,46404) = 717545052

Least Common Multiple (LCM) of 46389 and 46404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46389 and 46404. First we will calculate the prime factors of 46389 and 46404.

Prime Factorization of 46389

Prime Factorization of 46404

Now multiplying the highest exponent prime factors to calculate the LCM of 46389 and 46404.

LCM(46389,46404) = 3² × 7¹ × 47² × 2² × 1289¹
LCM(46389,46404) = 717545052