What is the Least Common Multiple of 46739 and 46746?

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 46739 and 46746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46739 and 46746, than apply into the LCM equation.

GCF(46739,46746) = 7
LCM(46739,46746) = ( 46739 × 46746) / 7
LCM(46739,46746) = 2184861294 / 7
LCM(46739,46746) = 312123042

Least Common Multiple (LCM) of 46739 and 46746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46739 and 46746. First we will calculate the prime factors of 46739 and 46746.

Prime Factorization of 46739

Prime Factorization of 46746

Now multiplying the highest exponent prime factors to calculate the LCM of 46739 and 46746.

LCM(46739,46746) = 7² × 11¹ × 607¹ × 2¹ × 3² × 53¹
LCM(46739,46746) = 312123042