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What is the Least Common Multiple of 26288 and 26297?

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 26288 and 26297 is 691295536.

LCM(26288,26297) = 691295536

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Least Common Multiple of 26288 and 26297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26288 and 26297, than apply into the LCM equation.

GCF(26288,26297) = 1
LCM(26288,26297) = ( 26288 × 26297) / 1
LCM(26288,26297) = 691295536 / 1
LCM(26288,26297) = 691295536

Least Common Multiple (LCM) of 26288 and 26297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26288 and 26297. First we will calculate the prime factors of 26288 and 26297.

Prime Factorization of 26288

Prime factors of 26288 are 2, 31, 53. Prime factorization of 26288 in exponential form is:

26288 = 24 × 311 × 531

Prime Factorization of 26297

Prime factors of 26297 are 26297. Prime factorization of 26297 in exponential form is:

26297 = 262971

Now multiplying the highest exponent prime factors to calculate the LCM of 26288 and 26297.

LCM(26288,26297) = 24 × 311 × 531 × 262971
LCM(26288,26297) = 691295536