What is the Least Common Multiple of 2089 and 2104?

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 2089 and 2104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2089 and 2104, than apply into the LCM equation.

GCF(2089,2104) = 1
LCM(2089,2104) = ( 2089 × 2104) / 1
LCM(2089,2104) = 4395256 / 1
LCM(2089,2104) = 4395256

Least Common Multiple (LCM) of 2089 and 2104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2089 and 2104. First we will calculate the prime factors of 2089 and 2104.

Prime Factorization of 2089

Prime Factorization of 2104

Now multiplying the highest exponent prime factors to calculate the LCM of 2089 and 2104.

LCM(2089,2104) = 2089¹ × 2³ × 263¹
LCM(2089,2104) = 4395256