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What is the Least Common Multiple of 18269 and 18275?

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 18269 and 18275 is 333865975.

LCM(18269,18275) = 333865975

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Least Common Multiple of 18269 and 18275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18269 and 18275, than apply into the LCM equation.

GCF(18269,18275) = 1
LCM(18269,18275) = ( 18269 × 18275) / 1
LCM(18269,18275) = 333865975 / 1
LCM(18269,18275) = 333865975

Least Common Multiple (LCM) of 18269 and 18275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18269 and 18275. First we will calculate the prime factors of 18269 and 18275.

Prime Factorization of 18269

Prime factors of 18269 are 18269. Prime factorization of 18269 in exponential form is:

18269 = 182691

Prime Factorization of 18275

Prime factors of 18275 are 5, 17, 43. Prime factorization of 18275 in exponential form is:

18275 = 52 × 171 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 18269 and 18275.

LCM(18269,18275) = 182691 × 52 × 171 × 431
LCM(18269,18275) = 333865975