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What is the Least Common Multiple of 25786 and 25794?

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 25786 and 25794 is 332562042.

LCM(25786,25794) = 332562042

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Least Common Multiple of 25786 and 25794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25786 and 25794, than apply into the LCM equation.

GCF(25786,25794) = 2
LCM(25786,25794) = ( 25786 × 25794) / 2
LCM(25786,25794) = 665124084 / 2
LCM(25786,25794) = 332562042

Least Common Multiple (LCM) of 25786 and 25794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25786 and 25794. First we will calculate the prime factors of 25786 and 25794.

Prime Factorization of 25786

Prime factors of 25786 are 2, 12893. Prime factorization of 25786 in exponential form is:

25786 = 21 × 128931

Prime Factorization of 25794

Prime factors of 25794 are 2, 3, 1433. Prime factorization of 25794 in exponential form is:

25794 = 21 × 32 × 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 25786 and 25794.

LCM(25786,25794) = 21 × 128931 × 32 × 14331
LCM(25786,25794) = 332562042