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What is the Least Common Multiple of 16682 and 16690?

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 16690 is 139211290.

LCM(16682,16690) = 139211290

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Least Common Multiple of 16682 and 16690 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 16690, than apply into the LCM equation.

GCF(16682,16690) = 2
LCM(16682,16690) = ( 16682 × 16690) / 2
LCM(16682,16690) = 278422580 / 2
LCM(16682,16690) = 139211290

Least Common Multiple (LCM) of 16682 and 16690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16682 and 16690. First we will calculate the prime factors of 16682 and 16690.

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 16690

Prime factors of 16690 are 2, 5, 1669. Prime factorization of 16690 in exponential form is:

16690 = 21 × 51 × 16691

Now multiplying the highest exponent prime factors to calculate the LCM of 16682 and 16690.

LCM(16682,16690) = 21 × 191 × 4391 × 51 × 16691
LCM(16682,16690) = 139211290