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What is the Least Common Multiple of 16863 and 16876?

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 16876 is 284579988.

LCM(16863,16876) = 284579988

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Least Common Multiple of 16863 and 16876 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 16876, than apply into the LCM equation.

GCF(16863,16876) = 1
LCM(16863,16876) = ( 16863 × 16876) / 1
LCM(16863,16876) = 284579988 / 1
LCM(16863,16876) = 284579988

Least Common Multiple (LCM) of 16863 and 16876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16863 and 16876. First we will calculate the prime factors of 16863 and 16876.

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 16876

Prime factors of 16876 are 2, 4219. Prime factorization of 16876 in exponential form is:

16876 = 22 × 42191

Now multiplying the highest exponent prime factors to calculate the LCM of 16863 and 16876.

LCM(16863,16876) = 31 × 71 × 111 × 731 × 22 × 42191
LCM(16863,16876) = 284579988