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What is the Least Common Multiple of 25582 and 25595?

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 25582 and 25595 is 654771290.

LCM(25582,25595) = 654771290

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Least Common Multiple of 25582 and 25595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25582 and 25595, than apply into the LCM equation.

GCF(25582,25595) = 1
LCM(25582,25595) = ( 25582 × 25595) / 1
LCM(25582,25595) = 654771290 / 1
LCM(25582,25595) = 654771290

Least Common Multiple (LCM) of 25582 and 25595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25582 and 25595. First we will calculate the prime factors of 25582 and 25595.

Prime Factorization of 25582

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

25582 = 21 × 127911

Prime Factorization of 25595

Prime factors of 25595 are 5, 5119. Prime factorization of 25595 in exponential form is:

25595 = 51 × 51191

Now multiplying the highest exponent prime factors to calculate the LCM of 25582 and 25595.

LCM(25582,25595) = 21 × 127911 × 51 × 51191
LCM(25582,25595) = 654771290