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What is the Least Common Multiple of 13357 and 13361?

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 13357 and 13361 is 178462877.

LCM(13357,13361) = 178462877

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Least Common Multiple of 13357 and 13361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13357 and 13361, than apply into the LCM equation.

GCF(13357,13361) = 1
LCM(13357,13361) = ( 13357 × 13361) / 1
LCM(13357,13361) = 178462877 / 1
LCM(13357,13361) = 178462877

Least Common Multiple (LCM) of 13357 and 13361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13357 and 13361. First we will calculate the prime factors of 13357 and 13361.

Prime Factorization of 13357

Prime factors of 13357 are 19, 37. Prime factorization of 13357 in exponential form is:

13357 = 192 × 371

Prime Factorization of 13361

Prime factors of 13361 are 31, 431. Prime factorization of 13361 in exponential form is:

13361 = 311 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 13357 and 13361.

LCM(13357,13361) = 192 × 371 × 311 × 4311
LCM(13357,13361) = 178462877