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What is the Least Common Multiple of 18411 and 18431?

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 18411 and 18431 is 339333141.

LCM(18411,18431) = 339333141

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Least Common Multiple of 18411 and 18431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18411 and 18431, than apply into the LCM equation.

GCF(18411,18431) = 1
LCM(18411,18431) = ( 18411 × 18431) / 1
LCM(18411,18431) = 339333141 / 1
LCM(18411,18431) = 339333141

Least Common Multiple (LCM) of 18411 and 18431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18411 and 18431. First we will calculate the prime factors of 18411 and 18431.

Prime Factorization of 18411

Prime factors of 18411 are 3, 17, 19. Prime factorization of 18411 in exponential form is:

18411 = 31 × 171 × 192

Prime Factorization of 18431

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

18431 = 71 × 26331

Now multiplying the highest exponent prime factors to calculate the LCM of 18411 and 18431.

LCM(18411,18431) = 31 × 171 × 192 × 71 × 26331
LCM(18411,18431) = 339333141