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What is the Least Common Multiple of 26593 and 26603?

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 26593 and 26603 is 707453579.

LCM(26593,26603) = 707453579

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Least Common Multiple of 26593 and 26603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26593 and 26603, than apply into the LCM equation.

GCF(26593,26603) = 1
LCM(26593,26603) = ( 26593 × 26603) / 1
LCM(26593,26603) = 707453579 / 1
LCM(26593,26603) = 707453579

Least Common Multiple (LCM) of 26593 and 26603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26593 and 26603. First we will calculate the prime factors of 26593 and 26603.

Prime Factorization of 26593

Prime factors of 26593 are 7, 29, 131. Prime factorization of 26593 in exponential form is:

26593 = 71 × 291 × 1311

Prime Factorization of 26603

Prime factors of 26603 are 37, 719. Prime factorization of 26603 in exponential form is:

26603 = 371 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 26593 and 26603.

LCM(26593,26603) = 71 × 291 × 1311 × 371 × 7191
LCM(26593,26603) = 707453579