What is the Least Common Multiple of 46848 and 46857?

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 46848 and 46857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46848 and 46857, than apply into the LCM equation.

GCF(46848,46857) = 3
LCM(46848,46857) = ( 46848 × 46857) / 3
LCM(46848,46857) = 2195156736 / 3
LCM(46848,46857) = 731718912

Least Common Multiple (LCM) of 46848 and 46857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46848 and 46857. First we will calculate the prime factors of 46848 and 46857.

Prime Factorization of 46848

Prime Factorization of 46857

Now multiplying the highest exponent prime factors to calculate the LCM of 46848 and 46857.

LCM(46848,46857) = 2⁸ × 3¹ × 61¹ × 15619¹
LCM(46848,46857) = 731718912