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What is the Least Common Multiple of 13361 and 13373?

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 13361 and 13373 is 178676653.

LCM(13361,13373) = 178676653

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Least Common Multiple of 13361 and 13373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13361 and 13373, than apply into the LCM equation.

GCF(13361,13373) = 1
LCM(13361,13373) = ( 13361 × 13373) / 1
LCM(13361,13373) = 178676653 / 1
LCM(13361,13373) = 178676653

Least Common Multiple (LCM) of 13361 and 13373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13361 and 13373. First we will calculate the prime factors of 13361 and 13373.

Prime Factorization of 13361

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

13361 = 311 × 4311

Prime Factorization of 13373

Prime factors of 13373 are 43, 311. Prime factorization of 13373 in exponential form is:

13373 = 431 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 13361 and 13373.

LCM(13361,13373) = 311 × 4311 × 431 × 3111
LCM(13361,13373) = 178676653