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What is the Least Common Multiple of 29789 and 29804?

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 29789 and 29804 is 887831356.

LCM(29789,29804) = 887831356

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Least Common Multiple of 29789 and 29804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29789 and 29804, than apply into the LCM equation.

GCF(29789,29804) = 1
LCM(29789,29804) = ( 29789 × 29804) / 1
LCM(29789,29804) = 887831356 / 1
LCM(29789,29804) = 887831356

Least Common Multiple (LCM) of 29789 and 29804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29789 and 29804. First we will calculate the prime factors of 29789 and 29804.

Prime Factorization of 29789

Prime factors of 29789 are 29789. Prime factorization of 29789 in exponential form is:

29789 = 297891

Prime Factorization of 29804

Prime factors of 29804 are 2, 7451. Prime factorization of 29804 in exponential form is:

29804 = 22 × 74511

Now multiplying the highest exponent prime factors to calculate the LCM of 29789 and 29804.

LCM(29789,29804) = 297891 × 22 × 74511
LCM(29789,29804) = 887831356