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What is the Least Common Multiple of 18259 and 18264?

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 18259 and 18264 is 333482376.

LCM(18259,18264) = 333482376

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Least Common Multiple of 18259 and 18264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18259 and 18264, than apply into the LCM equation.

GCF(18259,18264) = 1
LCM(18259,18264) = ( 18259 × 18264) / 1
LCM(18259,18264) = 333482376 / 1
LCM(18259,18264) = 333482376

Least Common Multiple (LCM) of 18259 and 18264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18259 and 18264. First we will calculate the prime factors of 18259 and 18264.

Prime Factorization of 18259

Prime factors of 18259 are 19, 31. Prime factorization of 18259 in exponential form is:

18259 = 191 × 312

Prime Factorization of 18264

Prime factors of 18264 are 2, 3, 761. Prime factorization of 18264 in exponential form is:

18264 = 23 × 31 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 18259 and 18264.

LCM(18259,18264) = 191 × 312 × 23 × 31 × 7611
LCM(18259,18264) = 333482376