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What is the Least Common Multiple of 16879 and 16896?

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 16879 and 16896 is 285187584.

LCM(16879,16896) = 285187584

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Least Common Multiple of 16879 and 16896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16879 and 16896, than apply into the LCM equation.

GCF(16879,16896) = 1
LCM(16879,16896) = ( 16879 × 16896) / 1
LCM(16879,16896) = 285187584 / 1
LCM(16879,16896) = 285187584

Least Common Multiple (LCM) of 16879 and 16896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16879 and 16896. First we will calculate the prime factors of 16879 and 16896.

Prime Factorization of 16879

Prime factors of 16879 are 16879. Prime factorization of 16879 in exponential form is:

16879 = 168791

Prime Factorization of 16896

Prime factors of 16896 are 2, 3, 11. Prime factorization of 16896 in exponential form is:

16896 = 29 × 31 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 16879 and 16896.

LCM(16879,16896) = 168791 × 29 × 31 × 111
LCM(16879,16896) = 285187584