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What is the Least Common Multiple of 11081 and 11099?

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 11081 and 11099 is 122988019.

LCM(11081,11099) = 122988019

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Least Common Multiple of 11081 and 11099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11081 and 11099, than apply into the LCM equation.

GCF(11081,11099) = 1
LCM(11081,11099) = ( 11081 × 11099) / 1
LCM(11081,11099) = 122988019 / 1
LCM(11081,11099) = 122988019

Least Common Multiple (LCM) of 11081 and 11099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11081 and 11099. First we will calculate the prime factors of 11081 and 11099.

Prime Factorization of 11081

Prime factors of 11081 are 7, 1583. Prime factorization of 11081 in exponential form is:

11081 = 71 × 15831

Prime Factorization of 11099

Prime factors of 11099 are 11, 1009. Prime factorization of 11099 in exponential form is:

11099 = 111 × 10091

Now multiplying the highest exponent prime factors to calculate the LCM of 11081 and 11099.

LCM(11081,11099) = 71 × 15831 × 111 × 10091
LCM(11081,11099) = 122988019