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What is the Least Common Multiple of 12895 and 12908?

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 12895 and 12908 is 166448660.

LCM(12895,12908) = 166448660

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Least Common Multiple of 12895 and 12908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12895 and 12908, than apply into the LCM equation.

GCF(12895,12908) = 1
LCM(12895,12908) = ( 12895 × 12908) / 1
LCM(12895,12908) = 166448660 / 1
LCM(12895,12908) = 166448660

Least Common Multiple (LCM) of 12895 and 12908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12895 and 12908. First we will calculate the prime factors of 12895 and 12908.

Prime Factorization of 12895

Prime factors of 12895 are 5, 2579. Prime factorization of 12895 in exponential form is:

12895 = 51 × 25791

Prime Factorization of 12908

Prime factors of 12908 are 2, 7, 461. Prime factorization of 12908 in exponential form is:

12908 = 22 × 71 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 12895 and 12908.

LCM(12895,12908) = 51 × 25791 × 22 × 71 × 4611
LCM(12895,12908) = 166448660