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What is the Least Common Multiple of 26519 and 26529?

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 26519 and 26529 is 703522551.

LCM(26519,26529) = 703522551

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Least Common Multiple of 26519 and 26529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26519 and 26529, than apply into the LCM equation.

GCF(26519,26529) = 1
LCM(26519,26529) = ( 26519 × 26529) / 1
LCM(26519,26529) = 703522551 / 1
LCM(26519,26529) = 703522551

Least Common Multiple (LCM) of 26519 and 26529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26519 and 26529. First we will calculate the prime factors of 26519 and 26529.

Prime Factorization of 26519

Prime factors of 26519 are 23, 1153. Prime factorization of 26519 in exponential form is:

26519 = 231 × 11531

Prime Factorization of 26529

Prime factors of 26529 are 3, 37, 239. Prime factorization of 26529 in exponential form is:

26529 = 31 × 371 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 26519 and 26529.

LCM(26519,26529) = 231 × 11531 × 31 × 371 × 2391
LCM(26519,26529) = 703522551