What is the Least Common Multiple of 1105 and 1123?

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 1105 and 1123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1105 and 1123, than apply into the LCM equation.

GCF(1105,1123) = 1
LCM(1105,1123) = ( 1105 × 1123) / 1
LCM(1105,1123) = 1240915 / 1
LCM(1105,1123) = 1240915

Least Common Multiple (LCM) of 1105 and 1123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1105 and 1123. First we will calculate the prime factors of 1105 and 1123.

Prime Factorization of 1105

Prime Factorization of 1123

Now multiplying the highest exponent prime factors to calculate the LCM of 1105 and 1123.

LCM(1105,1123) = 5¹ × 13¹ × 17¹ × 1123¹
LCM(1105,1123) = 1240915