What is the Least Common Multiple of 11105 and 11111?

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 11105 and 11111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11105 and 11111, than apply into the LCM equation.

GCF(11105,11111) = 1
LCM(11105,11111) = ( 11105 × 11111) / 1
LCM(11105,11111) = 123387655 / 1
LCM(11105,11111) = 123387655

Least Common Multiple (LCM) of 11105 and 11111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11105 and 11111. First we will calculate the prime factors of 11105 and 11111.

Prime Factorization of 11105

Prime Factorization of 11111

Now multiplying the highest exponent prime factors to calculate the LCM of 11105 and 11111.

LCM(11105,11111) = 5¹ × 2221¹ × 41¹ × 271¹
LCM(11105,11111) = 123387655