What is the Least Common Multiple of 46089 and 46101?

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 46089 and 46101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46089 and 46101, than apply into the LCM equation.

GCF(46089,46101) = 3
LCM(46089,46101) = ( 46089 × 46101) / 3
LCM(46089,46101) = 2124748989 / 3
LCM(46089,46101) = 708249663

Least Common Multiple (LCM) of 46089 and 46101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46089 and 46101. First we will calculate the prime factors of 46089 and 46101.

Prime Factorization of 46089

Prime Factorization of 46101

Now multiplying the highest exponent prime factors to calculate the LCM of 46089 and 46101.

LCM(46089,46101) = 3⁴ × 569¹ × 11² × 127¹
LCM(46089,46101) = 708249663