What is the Least Common Multiple of 46659 and 46674?

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 46659 and 46674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46659 and 46674, than apply into the LCM equation.

GCF(46659,46674) = 3
LCM(46659,46674) = ( 46659 × 46674) / 3
LCM(46659,46674) = 2177762166 / 3
LCM(46659,46674) = 725920722

Least Common Multiple (LCM) of 46659 and 46674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46659 and 46674. First we will calculate the prime factors of 46659 and 46674.

Prime Factorization of 46659

Prime Factorization of 46674

Now multiplying the highest exponent prime factors to calculate the LCM of 46659 and 46674.

LCM(46659,46674) = 3² × 103¹ × 151¹ × 2¹ × 2593¹
LCM(46659,46674) = 725920722