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What is the Least Common Multiple of 26335 and 26346?

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 26335 and 26346 is 693821910.

LCM(26335,26346) = 693821910

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Least Common Multiple of 26335 and 26346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26335 and 26346, than apply into the LCM equation.

GCF(26335,26346) = 1
LCM(26335,26346) = ( 26335 × 26346) / 1
LCM(26335,26346) = 693821910 / 1
LCM(26335,26346) = 693821910

Least Common Multiple (LCM) of 26335 and 26346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26335 and 26346. First we will calculate the prime factors of 26335 and 26346.

Prime Factorization of 26335

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

26335 = 51 × 231 × 2291

Prime Factorization of 26346

Prime factors of 26346 are 2, 3, 4391. Prime factorization of 26346 in exponential form is:

26346 = 21 × 31 × 43911

Now multiplying the highest exponent prime factors to calculate the LCM of 26335 and 26346.

LCM(26335,26346) = 51 × 231 × 2291 × 21 × 31 × 43911
LCM(26335,26346) = 693821910