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What is the Least Common Multiple of 11017 and 11035?

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 11017 and 11035 is 121572595.

LCM(11017,11035) = 121572595

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Least Common Multiple of 11017 and 11035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11017 and 11035, than apply into the LCM equation.

GCF(11017,11035) = 1
LCM(11017,11035) = ( 11017 × 11035) / 1
LCM(11017,11035) = 121572595 / 1
LCM(11017,11035) = 121572595

Least Common Multiple (LCM) of 11017 and 11035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11017 and 11035. First we will calculate the prime factors of 11017 and 11035.

Prime Factorization of 11017

Prime factors of 11017 are 23, 479. Prime factorization of 11017 in exponential form is:

11017 = 231 × 4791

Prime Factorization of 11035

Prime factors of 11035 are 5, 2207. Prime factorization of 11035 in exponential form is:

11035 = 51 × 22071

Now multiplying the highest exponent prime factors to calculate the LCM of 11017 and 11035.

LCM(11017,11035) = 231 × 4791 × 51 × 22071
LCM(11017,11035) = 121572595