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What is the Least Common Multiple of 13356 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 13356 and 13373 is 178609788.

LCM(13356,13373) = 178609788

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Least Common Multiple of 13356 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 13356 and 13373, than apply into the LCM equation.

GCF(13356,13373) = 1
LCM(13356,13373) = ( 13356 × 13373) / 1
LCM(13356,13373) = 178609788 / 1
LCM(13356,13373) = 178609788

Least Common Multiple (LCM) of 13356 and 13373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13356 and 13373. First we will calculate the prime factors of 13356 and 13373.

Prime Factorization of 13356

Prime factors of 13356 are 2, 3, 7, 53. Prime factorization of 13356 in exponential form is:

13356 = 22 × 32 × 71 × 531

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 13356 and 13373.

LCM(13356,13373) = 22 × 32 × 71 × 531 × 431 × 3111
LCM(13356,13373) = 178609788