What is the Least Common Multiple of 1089 and 1103?

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 1089 and 1103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1089 and 1103, than apply into the LCM equation.

GCF(1089,1103) = 1
LCM(1089,1103) = ( 1089 × 1103) / 1
LCM(1089,1103) = 1201167 / 1
LCM(1089,1103) = 1201167

Least Common Multiple (LCM) of 1089 and 1103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1089 and 1103. First we will calculate the prime factors of 1089 and 1103.

Prime Factorization of 1089

Prime Factorization of 1103

Now multiplying the highest exponent prime factors to calculate the LCM of 1089 and 1103.

LCM(1089,1103) = 3² × 11² × 1103¹
LCM(1089,1103) = 1201167