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What is the Least Common Multiple of 16813 and 16825?

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 16813 and 16825 is 282878725.

LCM(16813,16825) = 282878725

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Least Common Multiple of 16813 and 16825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16813 and 16825, than apply into the LCM equation.

GCF(16813,16825) = 1
LCM(16813,16825) = ( 16813 × 16825) / 1
LCM(16813,16825) = 282878725 / 1
LCM(16813,16825) = 282878725

Least Common Multiple (LCM) of 16813 and 16825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16813 and 16825. First we will calculate the prime factors of 16813 and 16825.

Prime Factorization of 16813

Prime factors of 16813 are 17, 23, 43. Prime factorization of 16813 in exponential form is:

16813 = 171 × 231 × 431

Prime Factorization of 16825

Prime factors of 16825 are 5, 673. Prime factorization of 16825 in exponential form is:

16825 = 52 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 16813 and 16825.

LCM(16813,16825) = 171 × 231 × 431 × 52 × 6731
LCM(16813,16825) = 282878725