What is the Least Common Multiple of 46272 and 46286?

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 46286 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 46286, than apply into the LCM equation.

GCF(46272,46286) = 2
LCM(46272,46286) = ( 46272 × 46286) / 2
LCM(46272,46286) = 2141745792 / 2
LCM(46272,46286) = 1070872896

Least Common Multiple (LCM) of 46272 and 46286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46272 and 46286. First we will calculate the prime factors of 46272 and 46286.

Prime Factorization of 46272

Prime Factorization of 46286

Now multiplying the highest exponent prime factors to calculate the LCM of 46272 and 46286.

LCM(46272,46286) = 2⁶ × 3¹ × 241¹ × 23143¹
LCM(46272,46286) = 1070872896