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What is the Least Common Multiple of 13519 and 13537?

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 13519 and 13537 is 183006703.

LCM(13519,13537) = 183006703

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Least Common Multiple of 13519 and 13537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13519 and 13537, than apply into the LCM equation.

GCF(13519,13537) = 1
LCM(13519,13537) = ( 13519 × 13537) / 1
LCM(13519,13537) = 183006703 / 1
LCM(13519,13537) = 183006703

Least Common Multiple (LCM) of 13519 and 13537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13519 and 13537. First we will calculate the prime factors of 13519 and 13537.

Prime Factorization of 13519

Prime factors of 13519 are 11, 1229. Prime factorization of 13519 in exponential form is:

13519 = 111 × 12291

Prime Factorization of 13537

Prime factors of 13537 are 13537. Prime factorization of 13537 in exponential form is:

13537 = 135371

Now multiplying the highest exponent prime factors to calculate the LCM of 13519 and 13537.

LCM(13519,13537) = 111 × 12291 × 135371
LCM(13519,13537) = 183006703