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What is the Least Common Multiple of 23539 and 23559?

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 23539 and 23559 is 554555301.

LCM(23539,23559) = 554555301

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Least Common Multiple of 23539 and 23559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23539 and 23559, than apply into the LCM equation.

GCF(23539,23559) = 1
LCM(23539,23559) = ( 23539 × 23559) / 1
LCM(23539,23559) = 554555301 / 1
LCM(23539,23559) = 554555301

Least Common Multiple (LCM) of 23539 and 23559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23539 and 23559. First we will calculate the prime factors of 23539 and 23559.

Prime Factorization of 23539

Prime factors of 23539 are 23539. Prime factorization of 23539 in exponential form is:

23539 = 235391

Prime Factorization of 23559

Prime factors of 23559 are 3, 7853. Prime factorization of 23559 in exponential form is:

23559 = 31 × 78531

Now multiplying the highest exponent prime factors to calculate the LCM of 23539 and 23559.

LCM(23539,23559) = 235391 × 31 × 78531
LCM(23539,23559) = 554555301