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What is the Least Common Multiple of 12889 and 12897?

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 12889 and 12897 is 166229433.

LCM(12889,12897) = 166229433

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Least Common Multiple of 12889 and 12897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12889 and 12897, than apply into the LCM equation.

GCF(12889,12897) = 1
LCM(12889,12897) = ( 12889 × 12897) / 1
LCM(12889,12897) = 166229433 / 1
LCM(12889,12897) = 166229433

Least Common Multiple (LCM) of 12889 and 12897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12889 and 12897. First we will calculate the prime factors of 12889 and 12897.

Prime Factorization of 12889

Prime factors of 12889 are 12889. Prime factorization of 12889 in exponential form is:

12889 = 128891

Prime Factorization of 12897

Prime factors of 12897 are 3, 1433. Prime factorization of 12897 in exponential form is:

12897 = 32 × 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 12889 and 12897.

LCM(12889,12897) = 128891 × 32 × 14331
LCM(12889,12897) = 166229433