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What is the Least Common Multiple of 26397 and 26404?

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 26397 and 26404 is 99569484.

LCM(26397,26404) = 99569484

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Least Common Multiple of 26397 and 26404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26397 and 26404, than apply into the LCM equation.

GCF(26397,26404) = 7
LCM(26397,26404) = ( 26397 × 26404) / 7
LCM(26397,26404) = 696986388 / 7
LCM(26397,26404) = 99569484

Least Common Multiple (LCM) of 26397 and 26404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26397 and 26404. First we will calculate the prime factors of 26397 and 26404.

Prime Factorization of 26397

Prime factors of 26397 are 3, 7, 419. Prime factorization of 26397 in exponential form is:

26397 = 32 × 71 × 4191

Prime Factorization of 26404

Prime factors of 26404 are 2, 7, 23, 41. Prime factorization of 26404 in exponential form is:

26404 = 22 × 71 × 231 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 26397 and 26404.

LCM(26397,26404) = 32 × 71 × 4191 × 22 × 231 × 411
LCM(26397,26404) = 99569484