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What is the Least Common Multiple of 26329 and 26348?

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 26329 and 26348 is 693716492.

LCM(26329,26348) = 693716492

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Least Common Multiple of 26329 and 26348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26329 and 26348, than apply into the LCM equation.

GCF(26329,26348) = 1
LCM(26329,26348) = ( 26329 × 26348) / 1
LCM(26329,26348) = 693716492 / 1
LCM(26329,26348) = 693716492

Least Common Multiple (LCM) of 26329 and 26348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26329 and 26348. First we will calculate the prime factors of 26329 and 26348.

Prime Factorization of 26329

Prime factors of 26329 are 113, 233. Prime factorization of 26329 in exponential form is:

26329 = 1131 × 2331

Prime Factorization of 26348

Prime factors of 26348 are 2, 7, 941. Prime factorization of 26348 in exponential form is:

26348 = 22 × 71 × 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 26329 and 26348.

LCM(26329,26348) = 1131 × 2331 × 22 × 71 × 9411
LCM(26329,26348) = 693716492