What is the Least Common Multiple of 46296 and 46311?

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 46296 and 46311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46296 and 46311, than apply into the LCM equation.

GCF(46296,46311) = 3
LCM(46296,46311) = ( 46296 × 46311) / 3
LCM(46296,46311) = 2144014056 / 3
LCM(46296,46311) = 714671352

Least Common Multiple (LCM) of 46296 and 46311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46296 and 46311. First we will calculate the prime factors of 46296 and 46311.

Prime Factorization of 46296

Prime Factorization of 46311

Now multiplying the highest exponent prime factors to calculate the LCM of 46296 and 46311.

LCM(46296,46311) = 2³ × 3² × 643¹ × 43¹ × 359¹
LCM(46296,46311) = 714671352