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What is the Least Common Multiple of 12884 and 12895?

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 12884 and 12895 is 166139180.

LCM(12884,12895) = 166139180

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Least Common Multiple of 12884 and 12895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12884 and 12895, than apply into the LCM equation.

GCF(12884,12895) = 1
LCM(12884,12895) = ( 12884 × 12895) / 1
LCM(12884,12895) = 166139180 / 1
LCM(12884,12895) = 166139180

Least Common Multiple (LCM) of 12884 and 12895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12884 and 12895. First we will calculate the prime factors of 12884 and 12895.

Prime Factorization of 12884

Prime factors of 12884 are 2, 3221. Prime factorization of 12884 in exponential form is:

12884 = 22 × 32211

Prime Factorization of 12895

Prime factors of 12895 are 5, 2579. Prime factorization of 12895 in exponential form is:

12895 = 51 × 25791

Now multiplying the highest exponent prime factors to calculate the LCM of 12884 and 12895.

LCM(12884,12895) = 22 × 32211 × 51 × 25791
LCM(12884,12895) = 166139180