What is the Least Common Multiple of 46407 and 46419?

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 46407 and 46419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46407 and 46419, than apply into the LCM equation.

GCF(46407,46419) = 3
LCM(46407,46419) = ( 46407 × 46419) / 3
LCM(46407,46419) = 2154166533 / 3
LCM(46407,46419) = 718055511

Least Common Multiple (LCM) of 46407 and 46419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46407 and 46419. First we will calculate the prime factors of 46407 and 46419.

Prime Factorization of 46407

Prime Factorization of 46419

Now multiplying the highest exponent prime factors to calculate the LCM of 46407 and 46419.

LCM(46407,46419) = 3¹ × 31¹ × 499¹ × 15473¹
LCM(46407,46419) = 718055511