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What is the Least Common Multiple of 11155 and 11165?

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 (LCM) of 11155 and 11165 is 24909115.

LCM(11155,11165) = 24909115

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Least Common Multiple of 11155 and 11165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11155 and 11165, than apply into the LCM equation.

GCF(11155,11165) = 5
LCM(11155,11165) = ( 11155 × 11165) / 5
LCM(11155,11165) = 124545575 / 5
LCM(11155,11165) = 24909115

Least Common Multiple (LCM) of 11155 and 11165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11155 and 11165. First we will calculate the prime factors of 11155 and 11165.

Prime Factorization of 11155

Prime factors of 11155 are 5, 23, 97. Prime factorization of 11155 in exponential form is:

11155 = 51 × 231 × 971

Prime Factorization of 11165

Prime factors of 11165 are 5, 7, 11, 29. Prime factorization of 11165 in exponential form is:

11165 = 51 × 71 × 111 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 11155 and 11165.

LCM(11155,11165) = 51 × 231 × 971 × 71 × 111 × 291
LCM(11155,11165) = 24909115