What is the Least Common Multiple of 46827 and 46833?

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 46827 and 46833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46827 and 46833, than apply into the LCM equation.

GCF(46827,46833) = 3
LCM(46827,46833) = ( 46827 × 46833) / 3
LCM(46827,46833) = 2193048891 / 3
LCM(46827,46833) = 731016297

Least Common Multiple (LCM) of 46827 and 46833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46827 and 46833. First we will calculate the prime factors of 46827 and 46833.

Prime Factorization of 46827

Prime Factorization of 46833

Now multiplying the highest exponent prime factors to calculate the LCM of 46827 and 46833.

LCM(46827,46833) = 3² × 11² × 43¹ × 67¹ × 233¹
LCM(46827,46833) = 731016297