What is the Least Common Multiple of 46188 and 46200?

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 46188 and 46200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46188 and 46200, than apply into the LCM equation.

GCF(46188,46200) = 12
LCM(46188,46200) = ( 46188 × 46200) / 12
LCM(46188,46200) = 2133885600 / 12
LCM(46188,46200) = 177823800

Least Common Multiple (LCM) of 46188 and 46200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46188 and 46200. First we will calculate the prime factors of 46188 and 46200.

Prime Factorization of 46188

Prime Factorization of 46200

Now multiplying the highest exponent prime factors to calculate the LCM of 46188 and 46200.

LCM(46188,46200) = 2³ × 3² × 1283¹ × 5² × 7¹ × 11¹
LCM(46188,46200) = 177823800