What is the Least Common Multiple of 46794 and 46804?

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 46794 and 46804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46794 and 46804, than apply into the LCM equation.

GCF(46794,46804) = 2
LCM(46794,46804) = ( 46794 × 46804) / 2
LCM(46794,46804) = 2190146376 / 2
LCM(46794,46804) = 1095073188

Least Common Multiple (LCM) of 46794 and 46804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46794 and 46804. First we will calculate the prime factors of 46794 and 46804.

Prime Factorization of 46794

Prime Factorization of 46804

Now multiplying the highest exponent prime factors to calculate the LCM of 46794 and 46804.

LCM(46794,46804) = 2² × 3¹ × 11¹ × 709¹ × 11701¹
LCM(46794,46804) = 1095073188