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What is the Least Common Multiple of 12882 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 12882 and 12888 is 27670536.

LCM(12882,12888) = 27670536

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Least Common Multiple of 12882 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 12882 and 12888, than apply into the LCM equation.

GCF(12882,12888) = 6
LCM(12882,12888) = ( 12882 × 12888) / 6
LCM(12882,12888) = 166023216 / 6
LCM(12882,12888) = 27670536

Least Common Multiple (LCM) of 12882 and 12888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12882 and 12888. First we will calculate the prime factors of 12882 and 12888.

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 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 12882 and 12888.

LCM(12882,12888) = 23 × 32 × 191 × 1131 × 1791
LCM(12882,12888) = 27670536