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What is the Least Common Multiple of 13315 and 13321?

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 13315 and 13321 is 177369115.

LCM(13315,13321) = 177369115

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Least Common Multiple of 13315 and 13321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13315 and 13321, than apply into the LCM equation.

GCF(13315,13321) = 1
LCM(13315,13321) = ( 13315 × 13321) / 1
LCM(13315,13321) = 177369115 / 1
LCM(13315,13321) = 177369115

Least Common Multiple (LCM) of 13315 and 13321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13315 and 13321. First we will calculate the prime factors of 13315 and 13321.

Prime Factorization of 13315

Prime factors of 13315 are 5, 2663. Prime factorization of 13315 in exponential form is:

13315 = 51 × 26631

Prime Factorization of 13321

Prime factors of 13321 are 7, 11, 173. Prime factorization of 13321 in exponential form is:

13321 = 71 × 111 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 13315 and 13321.

LCM(13315,13321) = 51 × 26631 × 71 × 111 × 1731
LCM(13315,13321) = 177369115