What is the Least Common Multiple of 46419 and 46431?

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 46419 and 46431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46419 and 46431, than apply into the LCM equation.

GCF(46419,46431) = 3
LCM(46419,46431) = ( 46419 × 46431) / 3
LCM(46419,46431) = 2155280589 / 3
LCM(46419,46431) = 718426863

Least Common Multiple (LCM) of 46419 and 46431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46419 and 46431. First we will calculate the prime factors of 46419 and 46431.

Prime Factorization of 46419

Prime Factorization of 46431

Now multiplying the highest exponent prime factors to calculate the LCM of 46419 and 46431.

LCM(46419,46431) = 3² × 15473¹ × 7¹ × 11¹ × 67¹
LCM(46419,46431) = 718426863