What is the Least Common Multiple of 46272 and 46288?

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 46288 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 46288, than apply into the LCM equation.

GCF(46272,46288) = 16
LCM(46272,46288) = ( 46272 × 46288) / 16
LCM(46272,46288) = 2141838336 / 16
LCM(46272,46288) = 133864896

Least Common Multiple (LCM) of 46272 and 46288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46272 and 46288. First we will calculate the prime factors of 46272 and 46288.

Prime Factorization of 46272

Prime Factorization of 46288

Now multiplying the highest exponent prime factors to calculate the LCM of 46272 and 46288.

LCM(46272,46288) = 2⁶ × 3¹ × 241¹ × 11¹ × 263¹
LCM(46272,46288) = 133864896