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What is the Least Common Multiple of 13414 and 13423?

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 13423 is 180056122.

LCM(13414,13423) = 180056122

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Least Common Multiple of 13414 and 13423 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 13423, than apply into the LCM equation.

GCF(13414,13423) = 1
LCM(13414,13423) = ( 13414 × 13423) / 1
LCM(13414,13423) = 180056122 / 1
LCM(13414,13423) = 180056122

Least Common Multiple (LCM) of 13414 and 13423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13414 and 13423. First we will calculate the prime factors of 13414 and 13423.

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 13423

Prime factors of 13423 are 31, 433. Prime factorization of 13423 in exponential form is:

13423 = 311 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 13414 and 13423.

LCM(13414,13423) = 21 × 191 × 3531 × 311 × 4331
LCM(13414,13423) = 180056122