What is the Least Common Multiple of 46746 and 46752?

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 46746 and 46752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46746 and 46752, than apply into the LCM equation.

GCF(46746,46752) = 6
LCM(46746,46752) = ( 46746 × 46752) / 6
LCM(46746,46752) = 2185468992 / 6
LCM(46746,46752) = 364244832

Least Common Multiple (LCM) of 46746 and 46752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46746 and 46752. First we will calculate the prime factors of 46746 and 46752.

Prime Factorization of 46746

Prime Factorization of 46752

Now multiplying the highest exponent prime factors to calculate the LCM of 46746 and 46752.

LCM(46746,46752) = 2⁵ × 3² × 7² × 53¹ × 487¹
LCM(46746,46752) = 364244832