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What is the Least Common Multiple of 16989 and 17008?

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 16989 and 17008 is 288948912.

LCM(16989,17008) = 288948912

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Least Common Multiple of 16989 and 17008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16989 and 17008, than apply into the LCM equation.

GCF(16989,17008) = 1
LCM(16989,17008) = ( 16989 × 17008) / 1
LCM(16989,17008) = 288948912 / 1
LCM(16989,17008) = 288948912

Least Common Multiple (LCM) of 16989 and 17008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16989 and 17008. First we will calculate the prime factors of 16989 and 17008.

Prime Factorization of 16989

Prime factors of 16989 are 3, 7, 809. Prime factorization of 16989 in exponential form is:

16989 = 31 × 71 × 8091

Prime Factorization of 17008

Prime factors of 17008 are 2, 1063. Prime factorization of 17008 in exponential form is:

17008 = 24 × 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 16989 and 17008.

LCM(16989,17008) = 31 × 71 × 8091 × 24 × 10631
LCM(16989,17008) = 288948912