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What is the Least Common Multiple of 29834 and 29841?

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 29834 and 29841 is 127182342.

LCM(29834,29841) = 127182342

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Least Common Multiple of 29834 and 29841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29834 and 29841, than apply into the LCM equation.

GCF(29834,29841) = 7
LCM(29834,29841) = ( 29834 × 29841) / 7
LCM(29834,29841) = 890276394 / 7
LCM(29834,29841) = 127182342

Least Common Multiple (LCM) of 29834 and 29841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29834 and 29841. First we will calculate the prime factors of 29834 and 29841.

Prime Factorization of 29834

Prime factors of 29834 are 2, 7, 2131. Prime factorization of 29834 in exponential form is:

29834 = 21 × 71 × 21311

Prime Factorization of 29841

Prime factors of 29841 are 3, 7, 29. Prime factorization of 29841 in exponential form is:

29841 = 31 × 73 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 29834 and 29841.

LCM(29834,29841) = 21 × 73 × 21311 × 31 × 291
LCM(29834,29841) = 127182342