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What is the Least Common Multiple of 13517 and 13536?

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 13517 and 13536 is 182966112.

LCM(13517,13536) = 182966112

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Least Common Multiple of 13517 and 13536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13517 and 13536, than apply into the LCM equation.

GCF(13517,13536) = 1
LCM(13517,13536) = ( 13517 × 13536) / 1
LCM(13517,13536) = 182966112 / 1
LCM(13517,13536) = 182966112

Least Common Multiple (LCM) of 13517 and 13536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13517 and 13536. First we will calculate the prime factors of 13517 and 13536.

Prime Factorization of 13517

Prime factors of 13517 are 7, 1931. Prime factorization of 13517 in exponential form is:

13517 = 71 × 19311

Prime Factorization of 13536

Prime factors of 13536 are 2, 3, 47. Prime factorization of 13536 in exponential form is:

13536 = 25 × 32 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 13517 and 13536.

LCM(13517,13536) = 71 × 19311 × 25 × 32 × 471
LCM(13517,13536) = 182966112