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What is the Least Common Multiple of 13414 and 13424?

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 13414 and 13424 is 90034768.

LCM(13414,13424) = 90034768

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Least Common Multiple of 13414 and 13424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13414 and 13424, than apply into the LCM equation.

GCF(13414,13424) = 2
LCM(13414,13424) = ( 13414 × 13424) / 2
LCM(13414,13424) = 180069536 / 2
LCM(13414,13424) = 90034768

Least Common Multiple (LCM) of 13414 and 13424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13414 and 13424. First we will calculate the prime factors of 13414 and 13424.

Prime Factorization of 13414

Prime factors of 13414 are 2, 19, 353. Prime factorization of 13414 in exponential form is:

13414 = 21 × 191 × 3531

Prime Factorization of 13424

Prime factors of 13424 are 2, 839. Prime factorization of 13424 in exponential form is:

13424 = 24 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 13414 and 13424.

LCM(13414,13424) = 24 × 191 × 3531 × 8391
LCM(13414,13424) = 90034768