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What is the Least Common Multiple of 26388 and 26393?

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 26388 and 26393 is 696458484.

LCM(26388,26393) = 696458484

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Least Common Multiple of 26388 and 26393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26388 and 26393, than apply into the LCM equation.

GCF(26388,26393) = 1
LCM(26388,26393) = ( 26388 × 26393) / 1
LCM(26388,26393) = 696458484 / 1
LCM(26388,26393) = 696458484

Least Common Multiple (LCM) of 26388 and 26393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26388 and 26393. First we will calculate the prime factors of 26388 and 26393.

Prime Factorization of 26388

Prime factors of 26388 are 2, 3, 733. Prime factorization of 26388 in exponential form is:

26388 = 22 × 32 × 7331

Prime Factorization of 26393

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

26393 = 263931

Now multiplying the highest exponent prime factors to calculate the LCM of 26388 and 26393.

LCM(26388,26393) = 22 × 32 × 7331 × 263931
LCM(26388,26393) = 696458484