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What is the Least Common Multiple of 29691 and 29699?

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 29691 and 29699 is 881793009.

LCM(29691,29699) = 881793009

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Least Common Multiple of 29691 and 29699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29691 and 29699, than apply into the LCM equation.

GCF(29691,29699) = 1
LCM(29691,29699) = ( 29691 × 29699) / 1
LCM(29691,29699) = 881793009 / 1
LCM(29691,29699) = 881793009

Least Common Multiple (LCM) of 29691 and 29699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29691 and 29699. First we will calculate the prime factors of 29691 and 29699.

Prime Factorization of 29691

Prime factors of 29691 are 3, 3299. Prime factorization of 29691 in exponential form is:

29691 = 32 × 32991

Prime Factorization of 29699

Prime factors of 29699 are 17, 1747. Prime factorization of 29699 in exponential form is:

29699 = 171 × 17471

Now multiplying the highest exponent prime factors to calculate the LCM of 29691 and 29699.

LCM(29691,29699) = 32 × 32991 × 171 × 17471
LCM(29691,29699) = 881793009