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What is the Least Common Multiple of 29417 and 29429?

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 29417 and 29429 is 865712893.

LCM(29417,29429) = 865712893

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Least Common Multiple of 29417 and 29429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29417 and 29429, than apply into the LCM equation.

GCF(29417,29429) = 1
LCM(29417,29429) = ( 29417 × 29429) / 1
LCM(29417,29429) = 865712893 / 1
LCM(29417,29429) = 865712893

Least Common Multiple (LCM) of 29417 and 29429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29417 and 29429. First we will calculate the prime factors of 29417 and 29429.

Prime Factorization of 29417

Prime factors of 29417 are 23, 1279. Prime factorization of 29417 in exponential form is:

29417 = 231 × 12791

Prime Factorization of 29429

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

29429 = 294291

Now multiplying the highest exponent prime factors to calculate the LCM of 29417 and 29429.

LCM(29417,29429) = 231 × 12791 × 294291
LCM(29417,29429) = 865712893