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What is the Least Common Multiple of 26335 and 26354?

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 26354 is 694032590.

LCM(26335,26354) = 694032590

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Least Common Multiple of 26335 and 26354 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 26354, than apply into the LCM equation.

GCF(26335,26354) = 1
LCM(26335,26354) = ( 26335 × 26354) / 1
LCM(26335,26354) = 694032590 / 1
LCM(26335,26354) = 694032590

Least Common Multiple (LCM) of 26335 and 26354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26335 and 26354. First we will calculate the prime factors of 26335 and 26354.

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 26354

Prime factors of 26354 are 2, 13177. Prime factorization of 26354 in exponential form is:

26354 = 21 × 131771

Now multiplying the highest exponent prime factors to calculate the LCM of 26335 and 26354.

LCM(26335,26354) = 51 × 231 × 2291 × 21 × 131771
LCM(26335,26354) = 694032590