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What is the Least Common Multiple of 25556 and 25562?

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 25556 and 25562 is 326631236.

LCM(25556,25562) = 326631236

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Least Common Multiple of 25556 and 25562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25556 and 25562, than apply into the LCM equation.

GCF(25556,25562) = 2
LCM(25556,25562) = ( 25556 × 25562) / 2
LCM(25556,25562) = 653262472 / 2
LCM(25556,25562) = 326631236

Least Common Multiple (LCM) of 25556 and 25562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25556 and 25562. First we will calculate the prime factors of 25556 and 25562.

Prime Factorization of 25556

Prime factors of 25556 are 2, 6389. Prime factorization of 25556 in exponential form is:

25556 = 22 × 63891

Prime Factorization of 25562

Prime factors of 25562 are 2, 12781. Prime factorization of 25562 in exponential form is:

25562 = 21 × 127811

Now multiplying the highest exponent prime factors to calculate the LCM of 25556 and 25562.

LCM(25556,25562) = 22 × 63891 × 127811
LCM(25556,25562) = 326631236