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What is the Least Common Multiple of 25902 and 25918?

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 25902 and 25918 is 335664018.

LCM(25902,25918) = 335664018

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Least Common Multiple of 25902 and 25918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25902 and 25918, than apply into the LCM equation.

GCF(25902,25918) = 2
LCM(25902,25918) = ( 25902 × 25918) / 2
LCM(25902,25918) = 671328036 / 2
LCM(25902,25918) = 335664018

Least Common Multiple (LCM) of 25902 and 25918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25902 and 25918. First we will calculate the prime factors of 25902 and 25918.

Prime Factorization of 25902

Prime factors of 25902 are 2, 3, 1439. Prime factorization of 25902 in exponential form is:

25902 = 21 × 32 × 14391

Prime Factorization of 25918

Prime factors of 25918 are 2, 12959. Prime factorization of 25918 in exponential form is:

25918 = 21 × 129591

Now multiplying the highest exponent prime factors to calculate the LCM of 25902 and 25918.

LCM(25902,25918) = 21 × 32 × 14391 × 129591
LCM(25902,25918) = 335664018