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What is the Least Common Multiple of 16682 and 16701?

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 16682 and 16701 is 14663478.

LCM(16682,16701) = 14663478

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Least Common Multiple of 16682 and 16701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16682 and 16701, than apply into the LCM equation.

GCF(16682,16701) = 19
LCM(16682,16701) = ( 16682 × 16701) / 19
LCM(16682,16701) = 278606082 / 19
LCM(16682,16701) = 14663478

Least Common Multiple (LCM) of 16682 and 16701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16682 and 16701. First we will calculate the prime factors of 16682 and 16701.

Prime Factorization of 16682

Prime factors of 16682 are 2, 19, 439. Prime factorization of 16682 in exponential form is:

16682 = 21 × 191 × 4391

Prime Factorization of 16701

Prime factors of 16701 are 3, 19, 293. Prime factorization of 16701 in exponential form is:

16701 = 31 × 191 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 16682 and 16701.

LCM(16682,16701) = 21 × 191 × 4391 × 31 × 2931
LCM(16682,16701) = 14663478