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What is the Least Common Multiple of 26393 and 26397?

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 26393 and 26397 is 696696021.

LCM(26393,26397) = 696696021

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Least Common Multiple of 26393 and 26397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26393 and 26397, than apply into the LCM equation.

GCF(26393,26397) = 1
LCM(26393,26397) = ( 26393 × 26397) / 1
LCM(26393,26397) = 696696021 / 1
LCM(26393,26397) = 696696021

Least Common Multiple (LCM) of 26393 and 26397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26393 and 26397. First we will calculate the prime factors of 26393 and 26397.

Prime Factorization of 26393

Prime factors of 26393 are 26393. Prime factorization of 26393 in exponential form is:

26393 = 263931

Prime Factorization of 26397

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

26397 = 32 × 71 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 26393 and 26397.

LCM(26393,26397) = 263931 × 32 × 71 × 4191
LCM(26393,26397) = 696696021