What is the Least Common Multiple of 46682 and 46699?

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 46682 and 46699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46682 and 46699, than apply into the LCM equation.

GCF(46682,46699) = 17
LCM(46682,46699) = ( 46682 × 46699) / 17
LCM(46682,46699) = 2180002718 / 17
LCM(46682,46699) = 128235454

Least Common Multiple (LCM) of 46682 and 46699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46682 and 46699. First we will calculate the prime factors of 46682 and 46699.

Prime Factorization of 46682

Prime Factorization of 46699

Now multiplying the highest exponent prime factors to calculate the LCM of 46682 and 46699.

LCM(46682,46699) = 2¹ × 17¹ × 1373¹ × 41¹ × 67¹
LCM(46682,46699) = 128235454