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What is the Least Common Multiple of 18166 and 18176?

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 18166 and 18176 is 165092608.

LCM(18166,18176) = 165092608

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Least Common Multiple of 18166 and 18176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18166 and 18176, than apply into the LCM equation.

GCF(18166,18176) = 2
LCM(18166,18176) = ( 18166 × 18176) / 2
LCM(18166,18176) = 330185216 / 2
LCM(18166,18176) = 165092608

Least Common Multiple (LCM) of 18166 and 18176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18166 and 18176. First we will calculate the prime factors of 18166 and 18176.

Prime Factorization of 18166

Prime factors of 18166 are 2, 31, 293. Prime factorization of 18166 in exponential form is:

18166 = 21 × 311 × 2931

Prime Factorization of 18176

Prime factors of 18176 are 2, 71. Prime factorization of 18176 in exponential form is:

18176 = 28 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 18166 and 18176.

LCM(18166,18176) = 28 × 311 × 2931 × 711
LCM(18166,18176) = 165092608