What is the Least Common Multiple of 46173 and 46188?

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 46173 and 46188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46173 and 46188, than apply into the LCM equation.

GCF(46173,46188) = 3
LCM(46173,46188) = ( 46173 × 46188) / 3
LCM(46173,46188) = 2132638524 / 3
LCM(46173,46188) = 710879508

Least Common Multiple (LCM) of 46173 and 46188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46173 and 46188. First we will calculate the prime factors of 46173 and 46188.

Prime Factorization of 46173

Prime Factorization of 46188

Now multiplying the highest exponent prime factors to calculate the LCM of 46173 and 46188.

LCM(46173,46188) = 3² × 15391¹ × 2² × 1283¹
LCM(46173,46188) = 710879508