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What is the Least Common Multiple of 25826 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 25826 and 25835 is 667214710.

LCM(25826,25835) = 667214710

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Least Common Multiple of 25826 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 25826 and 25835, than apply into the LCM equation.

GCF(25826,25835) = 1
LCM(25826,25835) = ( 25826 × 25835) / 1
LCM(25826,25835) = 667214710 / 1
LCM(25826,25835) = 667214710

Least Common Multiple (LCM) of 25826 and 25835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25826 and 25835. First we will calculate the prime factors of 25826 and 25835.

Prime Factorization of 25826

Prime factors of 25826 are 2, 37, 349. Prime factorization of 25826 in exponential form is:

25826 = 21 × 371 × 3491

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 25826 and 25835.

LCM(25826,25835) = 21 × 371 × 3491 × 51 × 51671
LCM(25826,25835) = 667214710