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What is the Least Common Multiple of 16994 and 17014?

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 16994 and 17014 is 144567958.

LCM(16994,17014) = 144567958

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Least Common Multiple of 16994 and 17014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16994 and 17014, than apply into the LCM equation.

GCF(16994,17014) = 2
LCM(16994,17014) = ( 16994 × 17014) / 2
LCM(16994,17014) = 289135916 / 2
LCM(16994,17014) = 144567958

Least Common Multiple (LCM) of 16994 and 17014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16994 and 17014. First we will calculate the prime factors of 16994 and 17014.

Prime Factorization of 16994

Prime factors of 16994 are 2, 29, 293. Prime factorization of 16994 in exponential form is:

16994 = 21 × 291 × 2931

Prime Factorization of 17014

Prime factors of 17014 are 2, 47, 181. Prime factorization of 17014 in exponential form is:

17014 = 21 × 471 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 16994 and 17014.

LCM(16994,17014) = 21 × 291 × 2931 × 471 × 1811
LCM(16994,17014) = 144567958