What is the Least Common Multiple of 46788 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 46788 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 46788 and 46804, than apply into the LCM equation.

GCF(46788,46804) = 4
LCM(46788,46804) = ( 46788 × 46804) / 4
LCM(46788,46804) = 2189865552 / 4
LCM(46788,46804) = 547466388

Least Common Multiple (LCM) of 46788 and 46804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46788 and 46804. First we will calculate the prime factors of 46788 and 46804.

Prime Factorization of 46788

Prime Factorization of 46804

Now multiplying the highest exponent prime factors to calculate the LCM of 46788 and 46804.

LCM(46788,46804) = 2² × 3¹ × 7¹ × 557¹ × 11701¹
LCM(46788,46804) = 547466388