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What is the Least Common Multiple of 11151 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 11151 and 11165 is 17785845.

LCM(11151,11165) = 17785845

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Least Common Multiple of 11151 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 11151 and 11165, than apply into the LCM equation.

GCF(11151,11165) = 7
LCM(11151,11165) = ( 11151 × 11165) / 7
LCM(11151,11165) = 124500915 / 7
LCM(11151,11165) = 17785845

Least Common Multiple (LCM) of 11151 and 11165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11151 and 11165. First we will calculate the prime factors of 11151 and 11165.

Prime Factorization of 11151

Prime factors of 11151 are 3, 7, 59. Prime factorization of 11151 in exponential form is:

11151 = 33 × 71 × 591

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 11151 and 11165.

LCM(11151,11165) = 33 × 71 × 591 × 51 × 111 × 291
LCM(11151,11165) = 17785845