What is the Least Common Multiple of 46431 and 46447?

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 46447 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 46447, than apply into the LCM equation.

GCF(46431,46447) = 1
LCM(46431,46447) = ( 46431 × 46447) / 1
LCM(46431,46447) = 2156580657 / 1
LCM(46431,46447) = 2156580657

Least Common Multiple (LCM) of 46431 and 46447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46431 and 46447. First we will calculate the prime factors of 46431 and 46447.

Prime Factorization of 46431

Prime Factorization of 46447

Now multiplying the highest exponent prime factors to calculate the LCM of 46431 and 46447.

LCM(46431,46447) = 3² × 7¹ × 11¹ × 67¹ × 46447¹
LCM(46431,46447) = 2156580657