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What is the Least Common Multiple of 29459 and 29471?

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 29459 and 29471 is 868186189.

LCM(29459,29471) = 868186189

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Least Common Multiple of 29459 and 29471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29459 and 29471, than apply into the LCM equation.

GCF(29459,29471) = 1
LCM(29459,29471) = ( 29459 × 29471) / 1
LCM(29459,29471) = 868186189 / 1
LCM(29459,29471) = 868186189

Least Common Multiple (LCM) of 29459 and 29471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29459 and 29471. First we will calculate the prime factors of 29459 and 29471.

Prime Factorization of 29459

Prime factors of 29459 are 89, 331. Prime factorization of 29459 in exponential form is:

29459 = 891 × 3311

Prime Factorization of 29471

Prime factors of 29471 are 13, 2267. Prime factorization of 29471 in exponential form is:

29471 = 131 × 22671

Now multiplying the highest exponent prime factors to calculate the LCM of 29459 and 29471.

LCM(29459,29471) = 891 × 3311 × 131 × 22671
LCM(29459,29471) = 868186189