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What is the Least Common Multiple of 26317 and 26335?

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 26317 and 26335 is 693058195.

LCM(26317,26335) = 693058195

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Least Common Multiple of 26317 and 26335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26317 and 26335, than apply into the LCM equation.

GCF(26317,26335) = 1
LCM(26317,26335) = ( 26317 × 26335) / 1
LCM(26317,26335) = 693058195 / 1
LCM(26317,26335) = 693058195

Least Common Multiple (LCM) of 26317 and 26335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26317 and 26335. First we will calculate the prime factors of 26317 and 26335.

Prime Factorization of 26317

Prime factors of 26317 are 26317. Prime factorization of 26317 in exponential form is:

26317 = 263171

Prime Factorization of 26335

Prime factors of 26335 are 5, 23, 229. Prime factorization of 26335 in exponential form is:

26335 = 51 × 231 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 26317 and 26335.

LCM(26317,26335) = 263171 × 51 × 231 × 2291
LCM(26317,26335) = 693058195