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What is the Least Common Multiple of 18265 and 18274?

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 18265 and 18274 is 333774610.

LCM(18265,18274) = 333774610

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Least Common Multiple of 18265 and 18274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18265 and 18274, than apply into the LCM equation.

GCF(18265,18274) = 1
LCM(18265,18274) = ( 18265 × 18274) / 1
LCM(18265,18274) = 333774610 / 1
LCM(18265,18274) = 333774610

Least Common Multiple (LCM) of 18265 and 18274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18265 and 18274. First we will calculate the prime factors of 18265 and 18274.

Prime Factorization of 18265

Prime factors of 18265 are 5, 13, 281. Prime factorization of 18265 in exponential form is:

18265 = 51 × 131 × 2811

Prime Factorization of 18274

Prime factors of 18274 are 2, 9137. Prime factorization of 18274 in exponential form is:

18274 = 21 × 91371

Now multiplying the highest exponent prime factors to calculate the LCM of 18265 and 18274.

LCM(18265,18274) = 51 × 131 × 2811 × 21 × 91371
LCM(18265,18274) = 333774610