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What is the Least Common Multiple of 16863 and 16879?

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 16863 and 16879 is 284630577.

LCM(16863,16879) = 284630577

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Least Common Multiple of 16863 and 16879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16863 and 16879, than apply into the LCM equation.

GCF(16863,16879) = 1
LCM(16863,16879) = ( 16863 × 16879) / 1
LCM(16863,16879) = 284630577 / 1
LCM(16863,16879) = 284630577

Least Common Multiple (LCM) of 16863 and 16879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16863 and 16879. First we will calculate the prime factors of 16863 and 16879.

Prime Factorization of 16863

Prime factors of 16863 are 3, 7, 11, 73. Prime factorization of 16863 in exponential form is:

16863 = 31 × 71 × 111 × 731

Prime Factorization of 16879

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

16879 = 168791

Now multiplying the highest exponent prime factors to calculate the LCM of 16863 and 16879.

LCM(16863,16879) = 31 × 71 × 111 × 731 × 168791
LCM(16863,16879) = 284630577