What is the Least Common Multiple of 46272 and 46281?

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 46272 and 46281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46272 and 46281, than apply into the LCM equation.

GCF(46272,46281) = 3
LCM(46272,46281) = ( 46272 × 46281) / 3
LCM(46272,46281) = 2141514432 / 3
LCM(46272,46281) = 713838144

Least Common Multiple (LCM) of 46272 and 46281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46272 and 46281. First we will calculate the prime factors of 46272 and 46281.

Prime Factorization of 46272

Prime Factorization of 46281

Now multiplying the highest exponent prime factors to calculate the LCM of 46272 and 46281.

LCM(46272,46281) = 2⁶ × 3¹ × 241¹ × 15427¹
LCM(46272,46281) = 713838144