What is the Least Common Multiple of 46191 and 46209?

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 46191 and 46209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46191 and 46209, than apply into the LCM equation.

GCF(46191,46209) = 3
LCM(46191,46209) = ( 46191 × 46209) / 3
LCM(46191,46209) = 2134439919 / 3
LCM(46191,46209) = 711479973

Least Common Multiple (LCM) of 46191 and 46209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46191 and 46209. First we will calculate the prime factors of 46191 and 46209.

Prime Factorization of 46191

Prime Factorization of 46209

Now multiplying the highest exponent prime factors to calculate the LCM of 46191 and 46209.

LCM(46191,46209) = 3¹ × 89¹ × 173¹ × 73¹ × 211¹
LCM(46191,46209) = 711479973