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What is the Least Common Multiple of 26584 and 26597?

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 26584 and 26597 is 707054648.

LCM(26584,26597) = 707054648

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Least Common Multiple of 26584 and 26597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26584 and 26597, than apply into the LCM equation.

GCF(26584,26597) = 1
LCM(26584,26597) = ( 26584 × 26597) / 1
LCM(26584,26597) = 707054648 / 1
LCM(26584,26597) = 707054648

Least Common Multiple (LCM) of 26584 and 26597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26584 and 26597. First we will calculate the prime factors of 26584 and 26597.

Prime Factorization of 26584

Prime factors of 26584 are 2, 3323. Prime factorization of 26584 in exponential form is:

26584 = 23 × 33231

Prime Factorization of 26597

Prime factors of 26597 are 26597. Prime factorization of 26597 in exponential form is:

26597 = 265971

Now multiplying the highest exponent prime factors to calculate the LCM of 26584 and 26597.

LCM(26584,26597) = 23 × 33231 × 265971
LCM(26584,26597) = 707054648