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What is the Least Common Multiple of 18284 and 18289?

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 18284 and 18289 is 334396076.

LCM(18284,18289) = 334396076

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Least Common Multiple of 18284 and 18289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18284 and 18289, than apply into the LCM equation.

GCF(18284,18289) = 1
LCM(18284,18289) = ( 18284 × 18289) / 1
LCM(18284,18289) = 334396076 / 1
LCM(18284,18289) = 334396076

Least Common Multiple (LCM) of 18284 and 18289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18284 and 18289. First we will calculate the prime factors of 18284 and 18289.

Prime Factorization of 18284

Prime factors of 18284 are 2, 7, 653. Prime factorization of 18284 in exponential form is:

18284 = 22 × 71 × 6531

Prime Factorization of 18289

Prime factors of 18289 are 18289. Prime factorization of 18289 in exponential form is:

18289 = 182891

Now multiplying the highest exponent prime factors to calculate the LCM of 18284 and 18289.

LCM(18284,18289) = 22 × 71 × 6531 × 182891
LCM(18284,18289) = 334396076