What is the Least Common Multiple of 11105 and 11115?

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 11115 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 11115, than apply into the LCM equation.

GCF(11105,11115) = 5
LCM(11105,11115) = ( 11105 × 11115) / 5
LCM(11105,11115) = 123432075 / 5
LCM(11105,11115) = 24686415

Least Common Multiple (LCM) of 11105 and 11115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11105 and 11115. First we will calculate the prime factors of 11105 and 11115.

Prime Factorization of 11105

Prime Factorization of 11115

Now multiplying the highest exponent prime factors to calculate the LCM of 11105 and 11115.

LCM(11105,11115) = 5¹ × 2221¹ × 3² × 13¹ × 19¹
LCM(11105,11115) = 24686415