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What is the Least Common Multiple of 13507 and 13527?

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 13507 and 13527 is 182709189.

LCM(13507,13527) = 182709189

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Least Common Multiple of 13507 and 13527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13507 and 13527, than apply into the LCM equation.

GCF(13507,13527) = 1
LCM(13507,13527) = ( 13507 × 13527) / 1
LCM(13507,13527) = 182709189 / 1
LCM(13507,13527) = 182709189

Least Common Multiple (LCM) of 13507 and 13527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13507 and 13527. First we will calculate the prime factors of 13507 and 13527.

Prime Factorization of 13507

Prime factors of 13507 are 13, 1039. Prime factorization of 13507 in exponential form is:

13507 = 131 × 10391

Prime Factorization of 13527

Prime factors of 13527 are 3, 167. Prime factorization of 13527 in exponential form is:

13527 = 34 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 13507 and 13527.

LCM(13507,13527) = 131 × 10391 × 34 × 1671
LCM(13507,13527) = 182709189