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What is the Least Common Multiple of 12706 and 12723?

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 12706 and 12723 is 161658438.

LCM(12706,12723) = 161658438

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Least Common Multiple of 12706 and 12723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12706 and 12723, than apply into the LCM equation.

GCF(12706,12723) = 1
LCM(12706,12723) = ( 12706 × 12723) / 1
LCM(12706,12723) = 161658438 / 1
LCM(12706,12723) = 161658438

Least Common Multiple (LCM) of 12706 and 12723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12706 and 12723. First we will calculate the prime factors of 12706 and 12723.

Prime Factorization of 12706

Prime factors of 12706 are 2, 6353. Prime factorization of 12706 in exponential form is:

12706 = 21 × 63531

Prime Factorization of 12723

Prime factors of 12723 are 3, 4241. Prime factorization of 12723 in exponential form is:

12723 = 31 × 42411

Now multiplying the highest exponent prime factors to calculate the LCM of 12706 and 12723.

LCM(12706,12723) = 21 × 63531 × 31 × 42411
LCM(12706,12723) = 161658438