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What is the Least Common Multiple of 11179 and 11186?

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 11179 and 11186 is 17864042.

LCM(11179,11186) = 17864042

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Least Common Multiple of 11179 and 11186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11179 and 11186, than apply into the LCM equation.

GCF(11179,11186) = 7
LCM(11179,11186) = ( 11179 × 11186) / 7
LCM(11179,11186) = 125048294 / 7
LCM(11179,11186) = 17864042

Least Common Multiple (LCM) of 11179 and 11186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11179 and 11186. First we will calculate the prime factors of 11179 and 11186.

Prime Factorization of 11179

Prime factors of 11179 are 7, 1597. Prime factorization of 11179 in exponential form is:

11179 = 71 × 15971

Prime Factorization of 11186

Prime factors of 11186 are 2, 7, 17, 47. Prime factorization of 11186 in exponential form is:

11186 = 21 × 71 × 171 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 11179 and 11186.

LCM(11179,11186) = 71 × 15971 × 21 × 171 × 471
LCM(11179,11186) = 17864042