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What is the Least Common Multiple of 16176 and 16186?

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 16176 and 16186 is 130912368.

LCM(16176,16186) = 130912368

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Least Common Multiple of 16176 and 16186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16176 and 16186, than apply into the LCM equation.

GCF(16176,16186) = 2
LCM(16176,16186) = ( 16176 × 16186) / 2
LCM(16176,16186) = 261824736 / 2
LCM(16176,16186) = 130912368

Least Common Multiple (LCM) of 16176 and 16186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16176 and 16186. First we will calculate the prime factors of 16176 and 16186.

Prime Factorization of 16176

Prime factors of 16176 are 2, 3, 337. Prime factorization of 16176 in exponential form is:

16176 = 24 × 31 × 3371

Prime Factorization of 16186

Prime factors of 16186 are 2, 8093. Prime factorization of 16186 in exponential form is:

16186 = 21 × 80931

Now multiplying the highest exponent prime factors to calculate the LCM of 16176 and 16186.

LCM(16176,16186) = 24 × 31 × 3371 × 80931
LCM(16176,16186) = 130912368