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What is the Least Common Multiple of 29426 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 29426 and 29439 is 866272014.

LCM(29426,29439) = 866272014

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Least Common Multiple of 29426 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 29426 and 29439, than apply into the LCM equation.

GCF(29426,29439) = 1
LCM(29426,29439) = ( 29426 × 29439) / 1
LCM(29426,29439) = 866272014 / 1
LCM(29426,29439) = 866272014

Least Common Multiple (LCM) of 29426 and 29439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29426 and 29439. First we will calculate the prime factors of 29426 and 29439.

Prime Factorization of 29426

Prime factors of 29426 are 2, 14713. Prime factorization of 29426 in exponential form is:

29426 = 21 × 147131

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 29426 and 29439.

LCM(29426,29439) = 21 × 147131 × 32 × 32711
LCM(29426,29439) = 866272014