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What is the Least Common Multiple of 12880 and 12887?

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 12880 and 12887 is 23712080.

LCM(12880,12887) = 23712080

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Least Common Multiple of 12880 and 12887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12880 and 12887, than apply into the LCM equation.

GCF(12880,12887) = 7
LCM(12880,12887) = ( 12880 × 12887) / 7
LCM(12880,12887) = 165984560 / 7
LCM(12880,12887) = 23712080

Least Common Multiple (LCM) of 12880 and 12887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12880 and 12887. First we will calculate the prime factors of 12880 and 12887.

Prime Factorization of 12880

Prime factors of 12880 are 2, 5, 7, 23. Prime factorization of 12880 in exponential form is:

12880 = 24 × 51 × 71 × 231

Prime Factorization of 12887

Prime factors of 12887 are 7, 263. Prime factorization of 12887 in exponential form is:

12887 = 72 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 12880 and 12887.

LCM(12880,12887) = 24 × 51 × 72 × 231 × 2631
LCM(12880,12887) = 23712080