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What is the Least Common Multiple of 25804 and 25819?

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 25804 and 25819 is 666233476.

LCM(25804,25819) = 666233476

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Least Common Multiple of 25804 and 25819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25804 and 25819, than apply into the LCM equation.

GCF(25804,25819) = 1
LCM(25804,25819) = ( 25804 × 25819) / 1
LCM(25804,25819) = 666233476 / 1
LCM(25804,25819) = 666233476

Least Common Multiple (LCM) of 25804 and 25819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25804 and 25819. First we will calculate the prime factors of 25804 and 25819.

Prime Factorization of 25804

Prime factors of 25804 are 2, 6451. Prime factorization of 25804 in exponential form is:

25804 = 22 × 64511

Prime Factorization of 25819

Prime factors of 25819 are 25819. Prime factorization of 25819 in exponential form is:

25819 = 258191

Now multiplying the highest exponent prime factors to calculate the LCM of 25804 and 25819.

LCM(25804,25819) = 22 × 64511 × 258191
LCM(25804,25819) = 666233476