What is the Least Common Multiple of 46401 and 46413?

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 46401 and 46413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46401 and 46413, than apply into the LCM equation.

GCF(46401,46413) = 3
LCM(46401,46413) = ( 46401 × 46413) / 3
LCM(46401,46413) = 2153609613 / 3
LCM(46401,46413) = 717869871

Least Common Multiple (LCM) of 46401 and 46413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46401 and 46413. First we will calculate the prime factors of 46401 and 46413.

Prime Factorization of 46401

Prime Factorization of 46413

Now multiplying the highest exponent prime factors to calculate the LCM of 46401 and 46413.

LCM(46401,46413) = 3⁵ × 15467¹ × 191¹
LCM(46401,46413) = 717869871