What is the Least Common Multiple of 46599 and 46619?

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 46599 and 46619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46599 and 46619, than apply into the LCM equation.

GCF(46599,46619) = 1
LCM(46599,46619) = ( 46599 × 46619) / 1
LCM(46599,46619) = 2172398781 / 1
LCM(46599,46619) = 2172398781

Least Common Multiple (LCM) of 46599 and 46619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46599 and 46619. First we will calculate the prime factors of 46599 and 46619.

Prime Factorization of 46599

Prime Factorization of 46619

Now multiplying the highest exponent prime factors to calculate the LCM of 46599 and 46619.

LCM(46599,46619) = 3¹ × 7² × 317¹ × 46619¹
LCM(46599,46619) = 2172398781