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What is the Least Common Multiple of 16009 and 16016?

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 16009 and 16016 is 36628592.

LCM(16009,16016) = 36628592

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Least Common Multiple of 16009 and 16016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16009 and 16016, than apply into the LCM equation.

GCF(16009,16016) = 7
LCM(16009,16016) = ( 16009 × 16016) / 7
LCM(16009,16016) = 256400144 / 7
LCM(16009,16016) = 36628592

Least Common Multiple (LCM) of 16009 and 16016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16009 and 16016. First we will calculate the prime factors of 16009 and 16016.

Prime Factorization of 16009

Prime factors of 16009 are 7, 2287. Prime factorization of 16009 in exponential form is:

16009 = 71 × 22871

Prime Factorization of 16016

Prime factors of 16016 are 2, 7, 11, 13. Prime factorization of 16016 in exponential form is:

16016 = 24 × 71 × 111 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 16009 and 16016.

LCM(16009,16016) = 71 × 22871 × 24 × 111 × 131
LCM(16009,16016) = 36628592