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What is the Least Common Multiple of 16825 and 16829?

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 16825 and 16829 is 283147925.

LCM(16825,16829) = 283147925

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Least Common Multiple of 16825 and 16829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16825 and 16829, than apply into the LCM equation.

GCF(16825,16829) = 1
LCM(16825,16829) = ( 16825 × 16829) / 1
LCM(16825,16829) = 283147925 / 1
LCM(16825,16829) = 283147925

Least Common Multiple (LCM) of 16825 and 16829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16825 and 16829. First we will calculate the prime factors of 16825 and 16829.

Prime Factorization of 16825

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

16825 = 52 × 6731

Prime Factorization of 16829

Prime factors of 16829 are 16829. Prime factorization of 16829 in exponential form is:

16829 = 168291

Now multiplying the highest exponent prime factors to calculate the LCM of 16825 and 16829.

LCM(16825,16829) = 52 × 6731 × 168291
LCM(16825,16829) = 283147925