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What is the Least Common Multiple of 11166 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 11166 and 11186 is 62451438.

LCM(11166,11186) = 62451438

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Least Common Multiple of 11166 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 11166 and 11186, than apply into the LCM equation.

GCF(11166,11186) = 2
LCM(11166,11186) = ( 11166 × 11186) / 2
LCM(11166,11186) = 124902876 / 2
LCM(11166,11186) = 62451438

Least Common Multiple (LCM) of 11166 and 11186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11166 and 11186. First we will calculate the prime factors of 11166 and 11186.

Prime Factorization of 11166

Prime factors of 11166 are 2, 3, 1861. Prime factorization of 11166 in exponential form is:

11166 = 21 × 31 × 18611

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 11166 and 11186.

LCM(11166,11186) = 21 × 31 × 18611 × 71 × 171 × 471
LCM(11166,11186) = 62451438