What is the Least Common Multiple of 46149 and 46161?

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 46149 and 46161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46149 and 46161, than apply into the LCM equation.

GCF(46149,46161) = 3
LCM(46149,46161) = ( 46149 × 46161) / 3
LCM(46149,46161) = 2130283989 / 3
LCM(46149,46161) = 710094663

Least Common Multiple (LCM) of 46149 and 46161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46149 and 46161. First we will calculate the prime factors of 46149 and 46161.

Prime Factorization of 46149

Prime Factorization of 46161

Now multiplying the highest exponent prime factors to calculate the LCM of 46149 and 46161.

LCM(46149,46161) = 3² × 15383¹ × 23¹ × 223¹
LCM(46149,46161) = 710094663