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What is the Least Common Multiple of 16894 and 16902?

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 16894 and 16902 is 142771194.

LCM(16894,16902) = 142771194

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Least Common Multiple of 16894 and 16902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16894 and 16902, than apply into the LCM equation.

GCF(16894,16902) = 2
LCM(16894,16902) = ( 16894 × 16902) / 2
LCM(16894,16902) = 285542388 / 2
LCM(16894,16902) = 142771194

Least Common Multiple (LCM) of 16894 and 16902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16894 and 16902. First we will calculate the prime factors of 16894 and 16902.

Prime Factorization of 16894

Prime factors of 16894 are 2, 8447. Prime factorization of 16894 in exponential form is:

16894 = 21 × 84471

Prime Factorization of 16902

Prime factors of 16902 are 2, 3, 313. Prime factorization of 16902 in exponential form is:

16902 = 21 × 33 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 16894 and 16902.

LCM(16894,16902) = 21 × 84471 × 33 × 3131
LCM(16894,16902) = 142771194