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What is the Least Common Multiple of 13539 and 13558?

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 13539 and 13558 is 183561762.

LCM(13539,13558) = 183561762

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Least Common Multiple of 13539 and 13558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13539 and 13558, than apply into the LCM equation.

GCF(13539,13558) = 1
LCM(13539,13558) = ( 13539 × 13558) / 1
LCM(13539,13558) = 183561762 / 1
LCM(13539,13558) = 183561762

Least Common Multiple (LCM) of 13539 and 13558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13539 and 13558. First we will calculate the prime factors of 13539 and 13558.

Prime Factorization of 13539

Prime factors of 13539 are 3, 4513. Prime factorization of 13539 in exponential form is:

13539 = 31 × 45131

Prime Factorization of 13558

Prime factors of 13558 are 2, 6779. Prime factorization of 13558 in exponential form is:

13558 = 21 × 67791

Now multiplying the highest exponent prime factors to calculate the LCM of 13539 and 13558.

LCM(13539,13558) = 31 × 45131 × 21 × 67791
LCM(13539,13558) = 183561762