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What is the Least Common Multiple of 12789 and 12809?

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 12789 and 12809 is 163814301.

LCM(12789,12809) = 163814301

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Least Common Multiple of 12789 and 12809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12789 and 12809, than apply into the LCM equation.

GCF(12789,12809) = 1
LCM(12789,12809) = ( 12789 × 12809) / 1
LCM(12789,12809) = 163814301 / 1
LCM(12789,12809) = 163814301

Least Common Multiple (LCM) of 12789 and 12809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12789 and 12809. First we will calculate the prime factors of 12789 and 12809.

Prime Factorization of 12789

Prime factors of 12789 are 3, 7, 29. Prime factorization of 12789 in exponential form is:

12789 = 32 × 72 × 291

Prime Factorization of 12809

Prime factors of 12809 are 12809. Prime factorization of 12809 in exponential form is:

12809 = 128091

Now multiplying the highest exponent prime factors to calculate the LCM of 12789 and 12809.

LCM(12789,12809) = 32 × 72 × 291 × 128091
LCM(12789,12809) = 163814301