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What is the Least Common Multiple of 13403 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 13403 and 13423 is 179908469.

LCM(13403,13423) = 179908469

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Least Common Multiple of 13403 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 13403 and 13423, than apply into the LCM equation.

GCF(13403,13423) = 1
LCM(13403,13423) = ( 13403 × 13423) / 1
LCM(13403,13423) = 179908469 / 1
LCM(13403,13423) = 179908469

Least Common Multiple (LCM) of 13403 and 13423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13403 and 13423. First we will calculate the prime factors of 13403 and 13423.

Prime Factorization of 13403

Prime factors of 13403 are 13, 1031. Prime factorization of 13403 in exponential form is:

13403 = 131 × 10311

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 13403 and 13423.

LCM(13403,13423) = 131 × 10311 × 311 × 4331
LCM(13403,13423) = 179908469