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What is the Least Common Multiple of 25906 and 25922?

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 25906 and 25922 is 335767666.

LCM(25906,25922) = 335767666

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Least Common Multiple of 25906 and 25922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25906 and 25922, than apply into the LCM equation.

GCF(25906,25922) = 2
LCM(25906,25922) = ( 25906 × 25922) / 2
LCM(25906,25922) = 671535332 / 2
LCM(25906,25922) = 335767666

Least Common Multiple (LCM) of 25906 and 25922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25906 and 25922. First we will calculate the prime factors of 25906 and 25922.

Prime Factorization of 25906

Prime factors of 25906 are 2, 12953. Prime factorization of 25906 in exponential form is:

25906 = 21 × 129531

Prime Factorization of 25922

Prime factors of 25922 are 2, 13, 997. Prime factorization of 25922 in exponential form is:

25922 = 21 × 131 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 25906 and 25922.

LCM(25906,25922) = 21 × 129531 × 131 × 9971
LCM(25906,25922) = 335767666