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What is the Least Common Multiple of 25831 and 25835?

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 25831 and 25835 is 667343885.

LCM(25831,25835) = 667343885

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Least Common Multiple of 25831 and 25835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25831 and 25835, than apply into the LCM equation.

GCF(25831,25835) = 1
LCM(25831,25835) = ( 25831 × 25835) / 1
LCM(25831,25835) = 667343885 / 1
LCM(25831,25835) = 667343885

Least Common Multiple (LCM) of 25831 and 25835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25831 and 25835. First we will calculate the prime factors of 25831 and 25835.

Prime Factorization of 25831

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

25831 = 131 × 19871

Prime Factorization of 25835

Prime factors of 25835 are 5, 5167. Prime factorization of 25835 in exponential form is:

25835 = 51 × 51671

Now multiplying the highest exponent prime factors to calculate the LCM of 25831 and 25835.

LCM(25831,25835) = 131 × 19871 × 51 × 51671
LCM(25831,25835) = 667343885