What is the Least Common Multiple of 46278 and 46296?

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 46278 and 46296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46278 and 46296, than apply into the LCM equation.

GCF(46278,46296) = 18
LCM(46278,46296) = ( 46278 × 46296) / 18
LCM(46278,46296) = 2142486288 / 18
LCM(46278,46296) = 119027016

Least Common Multiple (LCM) of 46278 and 46296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46278 and 46296. First we will calculate the prime factors of 46278 and 46296.

Prime Factorization of 46278

Prime Factorization of 46296

Now multiplying the highest exponent prime factors to calculate the LCM of 46278 and 46296.

LCM(46278,46296) = 2³ × 3³ × 857¹ × 643¹
LCM(46278,46296) = 119027016