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What is the Least Common Multiple of 18328 and 18347?

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 18328 and 18347 is 336263816.

LCM(18328,18347) = 336263816

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Least Common Multiple of 18328 and 18347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18328 and 18347, than apply into the LCM equation.

GCF(18328,18347) = 1
LCM(18328,18347) = ( 18328 × 18347) / 1
LCM(18328,18347) = 336263816 / 1
LCM(18328,18347) = 336263816

Least Common Multiple (LCM) of 18328 and 18347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18328 and 18347. First we will calculate the prime factors of 18328 and 18347.

Prime Factorization of 18328

Prime factors of 18328 are 2, 29, 79. Prime factorization of 18328 in exponential form is:

18328 = 23 × 291 × 791

Prime Factorization of 18347

Prime factors of 18347 are 7, 2621. Prime factorization of 18347 in exponential form is:

18347 = 71 × 26211

Now multiplying the highest exponent prime factors to calculate the LCM of 18328 and 18347.

LCM(18328,18347) = 23 × 291 × 791 × 71 × 26211
LCM(18328,18347) = 336263816