What is the Least Common Multiple of 46326 and 46344?

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 46326 and 46344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46326 and 46344, than apply into the LCM equation.

GCF(46326,46344) = 6
LCM(46326,46344) = ( 46326 × 46344) / 6
LCM(46326,46344) = 2146932144 / 6
LCM(46326,46344) = 357822024

Least Common Multiple (LCM) of 46326 and 46344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46326 and 46344. First we will calculate the prime factors of 46326 and 46344.

Prime Factorization of 46326

Prime Factorization of 46344

Now multiplying the highest exponent prime factors to calculate the LCM of 46326 and 46344.

LCM(46326,46344) = 2³ × 3¹ × 7¹ × 1103¹ × 1931¹
LCM(46326,46344) = 357822024