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What is the Least Common Multiple of 13520 and 13529?

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 13520 and 13529 is 182912080.

LCM(13520,13529) = 182912080

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Least Common Multiple of 13520 and 13529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13520 and 13529, than apply into the LCM equation.

GCF(13520,13529) = 1
LCM(13520,13529) = ( 13520 × 13529) / 1
LCM(13520,13529) = 182912080 / 1
LCM(13520,13529) = 182912080

Least Common Multiple (LCM) of 13520 and 13529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13520 and 13529. First we will calculate the prime factors of 13520 and 13529.

Prime Factorization of 13520

Prime factors of 13520 are 2, 5, 13. Prime factorization of 13520 in exponential form is:

13520 = 24 × 51 × 132

Prime Factorization of 13529

Prime factors of 13529 are 83, 163. Prime factorization of 13529 in exponential form is:

13529 = 831 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 13520 and 13529.

LCM(13520,13529) = 24 × 51 × 132 × 831 × 1631
LCM(13520,13529) = 182912080