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What is the Least Common Multiple of 25586 and 25596?

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 25586 and 25596 is 327449628.

LCM(25586,25596) = 327449628

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Least Common Multiple of 25586 and 25596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25586 and 25596, than apply into the LCM equation.

GCF(25586,25596) = 2
LCM(25586,25596) = ( 25586 × 25596) / 2
LCM(25586,25596) = 654899256 / 2
LCM(25586,25596) = 327449628

Least Common Multiple (LCM) of 25586 and 25596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25586 and 25596. First we will calculate the prime factors of 25586 and 25596.

Prime Factorization of 25586

Prime factors of 25586 are 2, 11, 1163. Prime factorization of 25586 in exponential form is:

25586 = 21 × 111 × 11631

Prime Factorization of 25596

Prime factors of 25596 are 2, 3, 79. Prime factorization of 25596 in exponential form is:

25596 = 22 × 34 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 25586 and 25596.

LCM(25586,25596) = 22 × 111 × 11631 × 34 × 791
LCM(25586,25596) = 327449628