What is the Least Common Multiple of 46914 and 46929?

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 46914 and 46929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46914 and 46929, than apply into the LCM equation.

GCF(46914,46929) = 3
LCM(46914,46929) = ( 46914 × 46929) / 3
LCM(46914,46929) = 2201627106 / 3
LCM(46914,46929) = 733875702

Least Common Multiple (LCM) of 46914 and 46929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46914 and 46929. First we will calculate the prime factors of 46914 and 46929.

Prime Factorization of 46914

Prime Factorization of 46929

Now multiplying the highest exponent prime factors to calculate the LCM of 46914 and 46929.

LCM(46914,46929) = 2¹ × 3¹ × 7¹ × 1117¹ × 15643¹
LCM(46914,46929) = 733875702