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What is the Least Common Multiple of 29429 and 29434?

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 29429 and 29434 is 866213186.

LCM(29429,29434) = 866213186

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Least Common Multiple of 29429 and 29434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29429 and 29434, than apply into the LCM equation.

GCF(29429,29434) = 1
LCM(29429,29434) = ( 29429 × 29434) / 1
LCM(29429,29434) = 866213186 / 1
LCM(29429,29434) = 866213186

Least Common Multiple (LCM) of 29429 and 29434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29429 and 29434. First we will calculate the prime factors of 29429 and 29434.

Prime Factorization of 29429

Prime factors of 29429 are 29429. Prime factorization of 29429 in exponential form is:

29429 = 294291

Prime Factorization of 29434

Prime factors of 29434 are 2, 14717. Prime factorization of 29434 in exponential form is:

29434 = 21 × 147171

Now multiplying the highest exponent prime factors to calculate the LCM of 29429 and 29434.

LCM(29429,29434) = 294291 × 21 × 147171
LCM(29429,29434) = 866213186