What is the Least Common Multiple of 46791 and 46797?

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 46791 and 46797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46791 and 46797, than apply into the LCM equation.

GCF(46791,46797) = 3
LCM(46791,46797) = ( 46791 × 46797) / 3
LCM(46791,46797) = 2189678427 / 3
LCM(46791,46797) = 729892809

Least Common Multiple (LCM) of 46791 and 46797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46791 and 46797. First we will calculate the prime factors of 46791 and 46797.

Prime Factorization of 46791

Prime Factorization of 46797

Now multiplying the highest exponent prime factors to calculate the LCM of 46791 and 46797.

LCM(46791,46797) = 3³ × 1733¹ × 19¹ × 821¹
LCM(46791,46797) = 729892809