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What is the Least Common Multiple of 16873 and 16891?

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 16873 and 16891 is 285001843.

LCM(16873,16891) = 285001843

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Least Common Multiple of 16873 and 16891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16873 and 16891, than apply into the LCM equation.

GCF(16873,16891) = 1
LCM(16873,16891) = ( 16873 × 16891) / 1
LCM(16873,16891) = 285001843 / 1
LCM(16873,16891) = 285001843

Least Common Multiple (LCM) of 16873 and 16891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16873 and 16891. First we will calculate the prime factors of 16873 and 16891.

Prime Factorization of 16873

Prime factors of 16873 are 47, 359. Prime factorization of 16873 in exponential form is:

16873 = 471 × 3591

Prime Factorization of 16891

Prime factors of 16891 are 7, 19, 127. Prime factorization of 16891 in exponential form is:

16891 = 71 × 191 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 16873 and 16891.

LCM(16873,16891) = 471 × 3591 × 71 × 191 × 1271
LCM(16873,16891) = 285001843