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What is the Least Common Multiple of 16809 and 16814?

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 16809 and 16814 is 282626526.

LCM(16809,16814) = 282626526

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Least Common Multiple of 16809 and 16814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16809 and 16814, than apply into the LCM equation.

GCF(16809,16814) = 1
LCM(16809,16814) = ( 16809 × 16814) / 1
LCM(16809,16814) = 282626526 / 1
LCM(16809,16814) = 282626526

Least Common Multiple (LCM) of 16809 and 16814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16809 and 16814. First we will calculate the prime factors of 16809 and 16814.

Prime Factorization of 16809

Prime factors of 16809 are 3, 13, 431. Prime factorization of 16809 in exponential form is:

16809 = 31 × 131 × 4311

Prime Factorization of 16814

Prime factors of 16814 are 2, 7, 1201. Prime factorization of 16814 in exponential form is:

16814 = 21 × 71 × 12011

Now multiplying the highest exponent prime factors to calculate the LCM of 16809 and 16814.

LCM(16809,16814) = 31 × 131 × 4311 × 21 × 71 × 12011
LCM(16809,16814) = 282626526