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What is the Least Common Multiple of 16875 and 16889?

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 16875 and 16889 is 285001875.

LCM(16875,16889) = 285001875

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Least Common Multiple of 16875 and 16889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16875 and 16889, than apply into the LCM equation.

GCF(16875,16889) = 1
LCM(16875,16889) = ( 16875 × 16889) / 1
LCM(16875,16889) = 285001875 / 1
LCM(16875,16889) = 285001875

Least Common Multiple (LCM) of 16875 and 16889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16875 and 16889. First we will calculate the prime factors of 16875 and 16889.

Prime Factorization of 16875

Prime factors of 16875 are 3, 5. Prime factorization of 16875 in exponential form is:

16875 = 33 × 54

Prime Factorization of 16889

Prime factors of 16889 are 16889. Prime factorization of 16889 in exponential form is:

16889 = 168891

Now multiplying the highest exponent prime factors to calculate the LCM of 16875 and 16889.

LCM(16875,16889) = 33 × 54 × 168891
LCM(16875,16889) = 285001875