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What is the Least Common Multiple of 13513 and 13521?

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 13513 and 13521 is 182709273.

LCM(13513,13521) = 182709273

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Least Common Multiple of 13513 and 13521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13513 and 13521, than apply into the LCM equation.

GCF(13513,13521) = 1
LCM(13513,13521) = ( 13513 × 13521) / 1
LCM(13513,13521) = 182709273 / 1
LCM(13513,13521) = 182709273

Least Common Multiple (LCM) of 13513 and 13521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13513 and 13521. First we will calculate the prime factors of 13513 and 13521.

Prime Factorization of 13513

Prime factors of 13513 are 13513. Prime factorization of 13513 in exponential form is:

13513 = 135131

Prime Factorization of 13521

Prime factors of 13521 are 3, 4507. Prime factorization of 13521 in exponential form is:

13521 = 31 × 45071

Now multiplying the highest exponent prime factors to calculate the LCM of 13513 and 13521.

LCM(13513,13521) = 135131 × 31 × 45071
LCM(13513,13521) = 182709273