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What is the Least Common Multiple of 25832 and 25838?

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 25832 and 25838 is 333723608.

LCM(25832,25838) = 333723608

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Least Common Multiple of 25832 and 25838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25832 and 25838, than apply into the LCM equation.

GCF(25832,25838) = 2
LCM(25832,25838) = ( 25832 × 25838) / 2
LCM(25832,25838) = 667447216 / 2
LCM(25832,25838) = 333723608

Least Common Multiple (LCM) of 25832 and 25838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25832 and 25838. First we will calculate the prime factors of 25832 and 25838.

Prime Factorization of 25832

Prime factors of 25832 are 2, 3229. Prime factorization of 25832 in exponential form is:

25832 = 23 × 32291

Prime Factorization of 25838

Prime factors of 25838 are 2, 12919. Prime factorization of 25838 in exponential form is:

25838 = 21 × 129191

Now multiplying the highest exponent prime factors to calculate the LCM of 25832 and 25838.

LCM(25832,25838) = 23 × 32291 × 129191
LCM(25832,25838) = 333723608