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What is the Least Common Multiple of 12868 and 12881?

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 12868 and 12881 is 165752708.

LCM(12868,12881) = 165752708

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Least Common Multiple of 12868 and 12881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12868 and 12881, than apply into the LCM equation.

GCF(12868,12881) = 1
LCM(12868,12881) = ( 12868 × 12881) / 1
LCM(12868,12881) = 165752708 / 1
LCM(12868,12881) = 165752708

Least Common Multiple (LCM) of 12868 and 12881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12868 and 12881. First we will calculate the prime factors of 12868 and 12881.

Prime Factorization of 12868

Prime factors of 12868 are 2, 3217. Prime factorization of 12868 in exponential form is:

12868 = 22 × 32171

Prime Factorization of 12881

Prime factors of 12881 are 11, 1171. Prime factorization of 12881 in exponential form is:

12881 = 111 × 11711

Now multiplying the highest exponent prime factors to calculate the LCM of 12868 and 12881.

LCM(12868,12881) = 22 × 32171 × 111 × 11711
LCM(12868,12881) = 165752708