What is the Least Common Multiple of 46713 and 46733?

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 46713 and 46733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46713 and 46733, than apply into the LCM equation.

GCF(46713,46733) = 1
LCM(46713,46733) = ( 46713 × 46733) / 1
LCM(46713,46733) = 2183038629 / 1
LCM(46713,46733) = 2183038629

Least Common Multiple (LCM) of 46713 and 46733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46713 and 46733. First we will calculate the prime factors of 46713 and 46733.

Prime Factorization of 46713

Prime Factorization of 46733

Now multiplying the highest exponent prime factors to calculate the LCM of 46713 and 46733.

LCM(46713,46733) = 3¹ × 23¹ × 677¹ × 17¹ × 2749¹
LCM(46713,46733) = 2183038629