What is the Least Common Multiple of 46311 and 46329?

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 46311 and 46329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46311 and 46329, than apply into the LCM equation.

GCF(46311,46329) = 3
LCM(46311,46329) = ( 46311 × 46329) / 3
LCM(46311,46329) = 2145542319 / 3
LCM(46311,46329) = 715180773

Least Common Multiple (LCM) of 46311 and 46329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46311 and 46329. First we will calculate the prime factors of 46311 and 46329.

Prime Factorization of 46311

Prime Factorization of 46329

Now multiplying the highest exponent prime factors to calculate the LCM of 46311 and 46329.

LCM(46311,46329) = 3¹ × 43¹ × 359¹ × 15443¹
LCM(46311,46329) = 715180773