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What is the Least Common Multiple of 12882 and 12890?

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 12882 and 12890 is 83024490.

LCM(12882,12890) = 83024490

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Least Common Multiple of 12882 and 12890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12882 and 12890, than apply into the LCM equation.

GCF(12882,12890) = 2
LCM(12882,12890) = ( 12882 × 12890) / 2
LCM(12882,12890) = 166048980 / 2
LCM(12882,12890) = 83024490

Least Common Multiple (LCM) of 12882 and 12890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12882 and 12890. First we will calculate the prime factors of 12882 and 12890.

Prime Factorization of 12882

Prime factors of 12882 are 2, 3, 19, 113. Prime factorization of 12882 in exponential form is:

12882 = 21 × 31 × 191 × 1131

Prime Factorization of 12890

Prime factors of 12890 are 2, 5, 1289. Prime factorization of 12890 in exponential form is:

12890 = 21 × 51 × 12891

Now multiplying the highest exponent prime factors to calculate the LCM of 12882 and 12890.

LCM(12882,12890) = 21 × 31 × 191 × 1131 × 51 × 12891
LCM(12882,12890) = 83024490