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What is the Least Common Multiple of 25588 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 25588 and 25596 is 163737612.

LCM(25588,25596) = 163737612

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Least Common Multiple of 25588 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 25588 and 25596, than apply into the LCM equation.

GCF(25588,25596) = 4
LCM(25588,25596) = ( 25588 × 25596) / 4
LCM(25588,25596) = 654950448 / 4
LCM(25588,25596) = 163737612

Least Common Multiple (LCM) of 25588 and 25596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25588 and 25596. First we will calculate the prime factors of 25588 and 25596.

Prime Factorization of 25588

Prime factors of 25588 are 2, 6397. Prime factorization of 25588 in exponential form is:

25588 = 22 × 63971

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 25588 and 25596.

LCM(25588,25596) = 22 × 63971 × 34 × 791
LCM(25588,25596) = 163737612