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What is the Least Common Multiple of 25568 and 25582?

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 25568 and 25582 is 327040288.

LCM(25568,25582) = 327040288

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Least Common Multiple of 25568 and 25582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25568 and 25582, than apply into the LCM equation.

GCF(25568,25582) = 2
LCM(25568,25582) = ( 25568 × 25582) / 2
LCM(25568,25582) = 654080576 / 2
LCM(25568,25582) = 327040288

Least Common Multiple (LCM) of 25568 and 25582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25568 and 25582. First we will calculate the prime factors of 25568 and 25582.

Prime Factorization of 25568

Prime factors of 25568 are 2, 17, 47. Prime factorization of 25568 in exponential form is:

25568 = 25 × 171 × 471

Prime Factorization of 25582

Prime factors of 25582 are 2, 12791. Prime factorization of 25582 in exponential form is:

25582 = 21 × 127911

Now multiplying the highest exponent prime factors to calculate the LCM of 25568 and 25582.

LCM(25568,25582) = 25 × 171 × 471 × 127911
LCM(25568,25582) = 327040288