What is the Least Common Multiple of 46893 and 46911?

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 46893 and 46911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46893 and 46911, than apply into the LCM equation.

GCF(46893,46911) = 3
LCM(46893,46911) = ( 46893 × 46911) / 3
LCM(46893,46911) = 2199797523 / 3
LCM(46893,46911) = 733265841

Least Common Multiple (LCM) of 46893 and 46911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46893 and 46911. First we will calculate the prime factors of 46893 and 46911.

Prime Factorization of 46893

Prime Factorization of 46911

Now multiplying the highest exponent prime factors to calculate the LCM of 46893 and 46911.

LCM(46893,46911) = 3¹ × 7² × 11¹ × 29¹ × 19¹ × 823¹
LCM(46893,46911) = 733265841