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What is the Least Common Multiple of 5323 and 5329?

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 5323 and 5329 is 28366267.

LCM(5323,5329) = 28366267

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Least Common Multiple of 5323 and 5329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5323 and 5329, than apply into the LCM equation.

GCF(5323,5329) = 1
LCM(5323,5329) = ( 5323 × 5329) / 1
LCM(5323,5329) = 28366267 / 1
LCM(5323,5329) = 28366267

Least Common Multiple (LCM) of 5323 and 5329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5323 and 5329. First we will calculate the prime factors of 5323 and 5329.

Prime Factorization of 5323

Prime factors of 5323 are 5323. Prime factorization of 5323 in exponential form is:

5323 = 53231

Prime Factorization of 5329

Prime factors of 5329 are 73. Prime factorization of 5329 in exponential form is:

5329 = 732

Now multiplying the highest exponent prime factors to calculate the LCM of 5323 and 5329.

LCM(5323,5329) = 53231 × 732
LCM(5323,5329) = 28366267