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What is the Least Common Multiple of 16991 and 17009?

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 16991 and 17009 is 288999919.

LCM(16991,17009) = 288999919

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Least Common Multiple of 16991 and 17009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16991 and 17009, than apply into the LCM equation.

GCF(16991,17009) = 1
LCM(16991,17009) = ( 16991 × 17009) / 1
LCM(16991,17009) = 288999919 / 1
LCM(16991,17009) = 288999919

Least Common Multiple (LCM) of 16991 and 17009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16991 and 17009. First we will calculate the prime factors of 16991 and 17009.

Prime Factorization of 16991

Prime factors of 16991 are 13, 1307. Prime factorization of 16991 in exponential form is:

16991 = 131 × 13071

Prime Factorization of 17009

Prime factors of 17009 are 73, 233. Prime factorization of 17009 in exponential form is:

17009 = 731 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 16991 and 17009.

LCM(16991,17009) = 131 × 13071 × 731 × 2331
LCM(16991,17009) = 288999919