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What is the Least Common Multiple of 18286 and 18294?

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 18286 and 18294 is 167262042.

LCM(18286,18294) = 167262042

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Least Common Multiple of 18286 and 18294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18286 and 18294, than apply into the LCM equation.

GCF(18286,18294) = 2
LCM(18286,18294) = ( 18286 × 18294) / 2
LCM(18286,18294) = 334524084 / 2
LCM(18286,18294) = 167262042

Least Common Multiple (LCM) of 18286 and 18294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18286 and 18294. First we will calculate the prime factors of 18286 and 18294.

Prime Factorization of 18286

Prime factors of 18286 are 2, 41, 223. Prime factorization of 18286 in exponential form is:

18286 = 21 × 411 × 2231

Prime Factorization of 18294

Prime factors of 18294 are 2, 3, 3049. Prime factorization of 18294 in exponential form is:

18294 = 21 × 31 × 30491

Now multiplying the highest exponent prime factors to calculate the LCM of 18286 and 18294.

LCM(18286,18294) = 21 × 411 × 2231 × 31 × 30491
LCM(18286,18294) = 167262042