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What is the Least Common Multiple of 25817 and 25831?

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 25817 and 25831 is 666878927.

LCM(25817,25831) = 666878927

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Least Common Multiple of 25817 and 25831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25817 and 25831, than apply into the LCM equation.

GCF(25817,25831) = 1
LCM(25817,25831) = ( 25817 × 25831) / 1
LCM(25817,25831) = 666878927 / 1
LCM(25817,25831) = 666878927

Least Common Multiple (LCM) of 25817 and 25831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25817 and 25831. First we will calculate the prime factors of 25817 and 25831.

Prime Factorization of 25817

Prime factors of 25817 are 11, 2347. Prime factorization of 25817 in exponential form is:

25817 = 111 × 23471

Prime Factorization of 25831

Prime factors of 25831 are 13, 1987. Prime factorization of 25831 in exponential form is:

25831 = 131 × 19871

Now multiplying the highest exponent prime factors to calculate the LCM of 25817 and 25831.

LCM(25817,25831) = 111 × 23471 × 131 × 19871
LCM(25817,25831) = 666878927