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What is the Least Common Multiple of 12853 and 12869?

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 12853 and 12869 is 165405257.

LCM(12853,12869) = 165405257

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Least Common Multiple of 12853 and 12869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12853 and 12869, than apply into the LCM equation.

GCF(12853,12869) = 1
LCM(12853,12869) = ( 12853 × 12869) / 1
LCM(12853,12869) = 165405257 / 1
LCM(12853,12869) = 165405257

Least Common Multiple (LCM) of 12853 and 12869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12853 and 12869. First we will calculate the prime factors of 12853 and 12869.

Prime Factorization of 12853

Prime factors of 12853 are 12853. Prime factorization of 12853 in exponential form is:

12853 = 128531

Prime Factorization of 12869

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

12869 = 171 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 12853 and 12869.

LCM(12853,12869) = 128531 × 171 × 7571
LCM(12853,12869) = 165405257