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What is the Least Common Multiple of 29790 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 29790 and 29804 is 443930580.

LCM(29790,29804) = 443930580

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Least Common Multiple of 29790 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 29790 and 29804, than apply into the LCM equation.

GCF(29790,29804) = 2
LCM(29790,29804) = ( 29790 × 29804) / 2
LCM(29790,29804) = 887861160 / 2
LCM(29790,29804) = 443930580

Least Common Multiple (LCM) of 29790 and 29804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29790 and 29804. First we will calculate the prime factors of 29790 and 29804.

Prime Factorization of 29790

Prime factors of 29790 are 2, 3, 5, 331. Prime factorization of 29790 in exponential form is:

29790 = 21 × 32 × 51 × 3311

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 29790 and 29804.

LCM(29790,29804) = 22 × 32 × 51 × 3311 × 74511
LCM(29790,29804) = 443930580