What is the Least Common Multiple of 46143 and 46149?

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 46143 and 46149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46143 and 46149, than apply into the LCM equation.

GCF(46143,46149) = 3
LCM(46143,46149) = ( 46143 × 46149) / 3
LCM(46143,46149) = 2129453307 / 3
LCM(46143,46149) = 709817769

Least Common Multiple (LCM) of 46143 and 46149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46143 and 46149. First we will calculate the prime factors of 46143 and 46149.

Prime Factorization of 46143

Prime Factorization of 46149

Now multiplying the highest exponent prime factors to calculate the LCM of 46143 and 46149.

LCM(46143,46149) = 3³ × 1709¹ × 15383¹
LCM(46143,46149) = 709817769