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What is the Least Common Multiple of 29834 and 29845?

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 29845 is 890395730.

LCM(29834,29845) = 890395730

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Least Common Multiple of 29834 and 29845 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 29845, than apply into the LCM equation.

GCF(29834,29845) = 1
LCM(29834,29845) = ( 29834 × 29845) / 1
LCM(29834,29845) = 890395730 / 1
LCM(29834,29845) = 890395730

Least Common Multiple (LCM) of 29834 and 29845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29834 and 29845. First we will calculate the prime factors of 29834 and 29845.

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 29845

Prime factors of 29845 are 5, 47, 127. Prime factorization of 29845 in exponential form is:

29845 = 51 × 471 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 29834 and 29845.

LCM(29834,29845) = 21 × 71 × 21311 × 51 × 471 × 1271
LCM(29834,29845) = 890395730