What is the Least Common Multiple of 46089 and 46108?

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 46108 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 46108, than apply into the LCM equation.

GCF(46089,46108) = 1
LCM(46089,46108) = ( 46089 × 46108) / 1
LCM(46089,46108) = 2125071612 / 1
LCM(46089,46108) = 2125071612

Least Common Multiple (LCM) of 46089 and 46108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46089 and 46108. First we will calculate the prime factors of 46089 and 46108.

Prime Factorization of 46089

Prime Factorization of 46108

Now multiplying the highest exponent prime factors to calculate the LCM of 46089 and 46108.

LCM(46089,46108) = 3⁴ × 569¹ × 2² × 11527¹
LCM(46089,46108) = 2125071612