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What is the Least Common Multiple of 12869 and 12880?

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 12869 and 12880 is 165752720.

LCM(12869,12880) = 165752720

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Least Common Multiple of 12869 and 12880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12869 and 12880, than apply into the LCM equation.

GCF(12869,12880) = 1
LCM(12869,12880) = ( 12869 × 12880) / 1
LCM(12869,12880) = 165752720 / 1
LCM(12869,12880) = 165752720

Least Common Multiple (LCM) of 12869 and 12880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12869 and 12880. First we will calculate the prime factors of 12869 and 12880.

Prime Factorization of 12869

Prime factors of 12869 are 17, 757. Prime factorization of 12869 in exponential form is:

12869 = 171 × 7571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 12869 and 12880.

LCM(12869,12880) = 171 × 7571 × 24 × 51 × 71 × 231
LCM(12869,12880) = 165752720