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What is the Least Common Multiple of 30804 and 30809?

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 30804 and 30809 is 949040436.

LCM(30804,30809) = 949040436

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Least Common Multiple of 30804 and 30809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30804 and 30809, than apply into the LCM equation.

GCF(30804,30809) = 1
LCM(30804,30809) = ( 30804 × 30809) / 1
LCM(30804,30809) = 949040436 / 1
LCM(30804,30809) = 949040436

Least Common Multiple (LCM) of 30804 and 30809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30804 and 30809. First we will calculate the prime factors of 30804 and 30809.

Prime Factorization of 30804

Prime factors of 30804 are 2, 3, 17, 151. Prime factorization of 30804 in exponential form is:

30804 = 22 × 31 × 171 × 1511

Prime Factorization of 30809

Prime factors of 30809 are 30809. Prime factorization of 30809 in exponential form is:

30809 = 308091

Now multiplying the highest exponent prime factors to calculate the LCM of 30804 and 30809.

LCM(30804,30809) = 22 × 31 × 171 × 1511 × 308091
LCM(30804,30809) = 949040436