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What is the Least Common Multiple of 11157 and 11166?

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 11157 and 11166 is 41526354.

LCM(11157,11166) = 41526354

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Least Common Multiple of 11157 and 11166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11157 and 11166, than apply into the LCM equation.

GCF(11157,11166) = 3
LCM(11157,11166) = ( 11157 × 11166) / 3
LCM(11157,11166) = 124579062 / 3
LCM(11157,11166) = 41526354

Least Common Multiple (LCM) of 11157 and 11166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11157 and 11166. First we will calculate the prime factors of 11157 and 11166.

Prime Factorization of 11157

Prime factors of 11157 are 3, 3719. Prime factorization of 11157 in exponential form is:

11157 = 31 × 37191

Prime Factorization of 11166

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

11166 = 21 × 31 × 18611

Now multiplying the highest exponent prime factors to calculate the LCM of 11157 and 11166.

LCM(11157,11166) = 31 × 37191 × 21 × 18611
LCM(11157,11166) = 41526354