What is the Least Common Multiple of 46161 and 46167?

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 46161 and 46167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46161 and 46167, than apply into the LCM equation.

GCF(46161,46167) = 3
LCM(46161,46167) = ( 46161 × 46167) / 3
LCM(46161,46167) = 2131114887 / 3
LCM(46161,46167) = 710371629

Least Common Multiple (LCM) of 46161 and 46167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46161 and 46167. First we will calculate the prime factors of 46161 and 46167.

Prime Factorization of 46161

Prime Factorization of 46167

Now multiplying the highest exponent prime factors to calculate the LCM of 46161 and 46167.

LCM(46161,46167) = 3² × 23¹ × 223¹ × 11¹ × 1399¹
LCM(46161,46167) = 710371629