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What is the Least Common Multiple of 18431 and 18436?

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 18431 and 18436 is 339793916.

LCM(18431,18436) = 339793916

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Least Common Multiple of 18431 and 18436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18431 and 18436, than apply into the LCM equation.

GCF(18431,18436) = 1
LCM(18431,18436) = ( 18431 × 18436) / 1
LCM(18431,18436) = 339793916 / 1
LCM(18431,18436) = 339793916

Least Common Multiple (LCM) of 18431 and 18436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18431 and 18436. First we will calculate the prime factors of 18431 and 18436.

Prime Factorization of 18431

Prime factors of 18431 are 7, 2633. Prime factorization of 18431 in exponential form is:

18431 = 71 × 26331

Prime Factorization of 18436

Prime factors of 18436 are 2, 11, 419. Prime factorization of 18436 in exponential form is:

18436 = 22 × 111 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 18431 and 18436.

LCM(18431,18436) = 71 × 26331 × 22 × 111 × 4191
LCM(18431,18436) = 339793916