What is the Least Common Multiple of 11109 and 11123?

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 11109 and 11123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11109 and 11123, than apply into the LCM equation.

GCF(11109,11123) = 7
LCM(11109,11123) = ( 11109 × 11123) / 7
LCM(11109,11123) = 123565407 / 7
LCM(11109,11123) = 17652201

Least Common Multiple (LCM) of 11109 and 11123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11109 and 11123. First we will calculate the prime factors of 11109 and 11123.

Prime Factorization of 11109

Prime Factorization of 11123

Now multiplying the highest exponent prime factors to calculate the LCM of 11109 and 11123.

LCM(11109,11123) = 3¹ × 7² × 23² × 227¹
LCM(11109,11123) = 17652201