What is the Least Common Multiple of 46908 and 46923?

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 46908 and 46923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46908 and 46923, than apply into the LCM equation.

GCF(46908,46923) = 3
LCM(46908,46923) = ( 46908 × 46923) / 3
LCM(46908,46923) = 2201064084 / 3
LCM(46908,46923) = 733688028

Least Common Multiple (LCM) of 46908 and 46923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46908 and 46923. First we will calculate the prime factors of 46908 and 46923.

Prime Factorization of 46908

Prime Factorization of 46923

Now multiplying the highest exponent prime factors to calculate the LCM of 46908 and 46923.

LCM(46908,46923) = 2² × 3² × 1303¹ × 15641¹
LCM(46908,46923) = 733688028