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What is the Least Common Multiple of 16991 and 17010?

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 17010 is 289016910.

LCM(16991,17010) = 289016910

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Least Common Multiple of 16991 and 17010 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 17010, than apply into the LCM equation.

GCF(16991,17010) = 1
LCM(16991,17010) = ( 16991 × 17010) / 1
LCM(16991,17010) = 289016910 / 1
LCM(16991,17010) = 289016910

Least Common Multiple (LCM) of 16991 and 17010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16991 and 17010. First we will calculate the prime factors of 16991 and 17010.

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 17010

Prime factors of 17010 are 2, 3, 5, 7. Prime factorization of 17010 in exponential form is:

17010 = 21 × 35 × 51 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 16991 and 17010.

LCM(16991,17010) = 131 × 13071 × 21 × 35 × 51 × 71
LCM(16991,17010) = 289016910