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What is the Least Common Multiple of 29423 and 29439?

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 29423 and 29439 is 866183697.

LCM(29423,29439) = 866183697

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Least Common Multiple of 29423 and 29439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29423 and 29439, than apply into the LCM equation.

GCF(29423,29439) = 1
LCM(29423,29439) = ( 29423 × 29439) / 1
LCM(29423,29439) = 866183697 / 1
LCM(29423,29439) = 866183697

Least Common Multiple (LCM) of 29423 and 29439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29423 and 29439. First we will calculate the prime factors of 29423 and 29439.

Prime Factorization of 29423

Prime factors of 29423 are 29423. Prime factorization of 29423 in exponential form is:

29423 = 294231

Prime Factorization of 29439

Prime factors of 29439 are 3, 3271. Prime factorization of 29439 in exponential form is:

29439 = 32 × 32711

Now multiplying the highest exponent prime factors to calculate the LCM of 29423 and 29439.

LCM(29423,29439) = 294231 × 32 × 32711
LCM(29423,29439) = 866183697