What is the Least Common Multiple of 46431 and 46449?

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 46431 and 46449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46431 and 46449, than apply into the LCM equation.

GCF(46431,46449) = 9
LCM(46431,46449) = ( 46431 × 46449) / 9
LCM(46431,46449) = 2156673519 / 9
LCM(46431,46449) = 239630391

Least Common Multiple (LCM) of 46431 and 46449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46431 and 46449. First we will calculate the prime factors of 46431 and 46449.

Prime Factorization of 46431

Prime Factorization of 46449

Now multiplying the highest exponent prime factors to calculate the LCM of 46431 and 46449.

LCM(46431,46449) = 3² × 7¹ × 11¹ × 67¹ × 13¹ × 397¹
LCM(46431,46449) = 239630391