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What is the Least Common Multiple of 9319 and 9333?

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 9319 and 9333 is 86974227.

LCM(9319,9333) = 86974227

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Least Common Multiple of 9319 and 9333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9319 and 9333, than apply into the LCM equation.

GCF(9319,9333) = 1
LCM(9319,9333) = ( 9319 × 9333) / 1
LCM(9319,9333) = 86974227 / 1
LCM(9319,9333) = 86974227

Least Common Multiple (LCM) of 9319 and 9333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9319 and 9333. First we will calculate the prime factors of 9319 and 9333.

Prime Factorization of 9319

Prime factors of 9319 are 9319. Prime factorization of 9319 in exponential form is:

9319 = 93191

Prime Factorization of 9333

Prime factors of 9333 are 3, 17, 61. Prime factorization of 9333 in exponential form is:

9333 = 32 × 171 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 9319 and 9333.

LCM(9319,9333) = 93191 × 32 × 171 × 611
LCM(9319,9333) = 86974227