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What is the Least Common Multiple of 12881 and 12888?

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 12881 and 12888 is 166010328.

LCM(12881,12888) = 166010328

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Least Common Multiple of 12881 and 12888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12881 and 12888, than apply into the LCM equation.

GCF(12881,12888) = 1
LCM(12881,12888) = ( 12881 × 12888) / 1
LCM(12881,12888) = 166010328 / 1
LCM(12881,12888) = 166010328

Least Common Multiple (LCM) of 12881 and 12888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12881 and 12888. First we will calculate the prime factors of 12881 and 12888.

Prime Factorization of 12881

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

12881 = 111 × 11711

Prime Factorization of 12888

Prime factors of 12888 are 2, 3, 179. Prime factorization of 12888 in exponential form is:

12888 = 23 × 32 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 12881 and 12888.

LCM(12881,12888) = 111 × 11711 × 23 × 32 × 1791
LCM(12881,12888) = 166010328