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What is the Least Common Multiple of 12909 and 12923?

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 12909 and 12923 is 166823007.

LCM(12909,12923) = 166823007

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Least Common Multiple of 12909 and 12923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12909 and 12923, than apply into the LCM equation.

GCF(12909,12923) = 1
LCM(12909,12923) = ( 12909 × 12923) / 1
LCM(12909,12923) = 166823007 / 1
LCM(12909,12923) = 166823007

Least Common Multiple (LCM) of 12909 and 12923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12909 and 12923. First we will calculate the prime factors of 12909 and 12923.

Prime Factorization of 12909

Prime factors of 12909 are 3, 13, 331. Prime factorization of 12909 in exponential form is:

12909 = 31 × 131 × 3311

Prime Factorization of 12923

Prime factors of 12923 are 12923. Prime factorization of 12923 in exponential form is:

12923 = 129231

Now multiplying the highest exponent prime factors to calculate the LCM of 12909 and 12923.

LCM(12909,12923) = 31 × 131 × 3311 × 129231
LCM(12909,12923) = 166823007