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What is the Least Common Multiple of 11166 and 11177?

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 11177 is 124802382.

LCM(11166,11177) = 124802382

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Least Common Multiple of 11166 and 11177 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 11177, than apply into the LCM equation.

GCF(11166,11177) = 1
LCM(11166,11177) = ( 11166 × 11177) / 1
LCM(11166,11177) = 124802382 / 1
LCM(11166,11177) = 124802382

Least Common Multiple (LCM) of 11166 and 11177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11166 and 11177. First we will calculate the prime factors of 11166 and 11177.

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 11177

Prime factors of 11177 are 11177. Prime factorization of 11177 in exponential form is:

11177 = 111771

Now multiplying the highest exponent prime factors to calculate the LCM of 11166 and 11177.

LCM(11166,11177) = 21 × 31 × 18611 × 111771
LCM(11166,11177) = 124802382