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What is the Least Common Multiple of 29788 and 29806?

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 29788 and 29806 is 443930564.

LCM(29788,29806) = 443930564

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Least Common Multiple of 29788 and 29806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29788 and 29806, than apply into the LCM equation.

GCF(29788,29806) = 2
LCM(29788,29806) = ( 29788 × 29806) / 2
LCM(29788,29806) = 887861128 / 2
LCM(29788,29806) = 443930564

Least Common Multiple (LCM) of 29788 and 29806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29788 and 29806. First we will calculate the prime factors of 29788 and 29806.

Prime Factorization of 29788

Prime factors of 29788 are 2, 11, 677. Prime factorization of 29788 in exponential form is:

29788 = 22 × 111 × 6771

Prime Factorization of 29806

Prime factors of 29806 are 2, 7, 2129. Prime factorization of 29806 in exponential form is:

29806 = 21 × 71 × 21291

Now multiplying the highest exponent prime factors to calculate the LCM of 29788 and 29806.

LCM(29788,29806) = 22 × 111 × 6771 × 71 × 21291
LCM(29788,29806) = 443930564