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What is the Least Common Multiple of 16168 and 16178?

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 16168 and 16178 is 130782952.

LCM(16168,16178) = 130782952

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Least Common Multiple of 16168 and 16178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16168 and 16178, than apply into the LCM equation.

GCF(16168,16178) = 2
LCM(16168,16178) = ( 16168 × 16178) / 2
LCM(16168,16178) = 261565904 / 2
LCM(16168,16178) = 130782952

Least Common Multiple (LCM) of 16168 and 16178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16168 and 16178. First we will calculate the prime factors of 16168 and 16178.

Prime Factorization of 16168

Prime factors of 16168 are 2, 43, 47. Prime factorization of 16168 in exponential form is:

16168 = 23 × 431 × 471

Prime Factorization of 16178

Prime factors of 16178 are 2, 8089. Prime factorization of 16178 in exponential form is:

16178 = 21 × 80891

Now multiplying the highest exponent prime factors to calculate the LCM of 16168 and 16178.

LCM(16168,16178) = 23 × 431 × 471 × 80891
LCM(16168,16178) = 130782952