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What is the Least Common Multiple of 13423 and 13431?

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 13423 and 13431 is 180284313.

LCM(13423,13431) = 180284313

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Least Common Multiple of 13423 and 13431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13423 and 13431, than apply into the LCM equation.

GCF(13423,13431) = 1
LCM(13423,13431) = ( 13423 × 13431) / 1
LCM(13423,13431) = 180284313 / 1
LCM(13423,13431) = 180284313

Least Common Multiple (LCM) of 13423 and 13431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13423 and 13431. First we will calculate the prime factors of 13423 and 13431.

Prime Factorization of 13423

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

13423 = 311 × 4331

Prime Factorization of 13431

Prime factors of 13431 are 3, 11, 37. Prime factorization of 13431 in exponential form is:

13431 = 31 × 112 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 13423 and 13431.

LCM(13423,13431) = 311 × 4331 × 31 × 112 × 371
LCM(13423,13431) = 180284313