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What is the Least Common Multiple of 9291 and 9309?

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 9291 and 9309 is 28829973.

LCM(9291,9309) = 28829973

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Least Common Multiple of 9291 and 9309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9291 and 9309, than apply into the LCM equation.

GCF(9291,9309) = 3
LCM(9291,9309) = ( 9291 × 9309) / 3
LCM(9291,9309) = 86489919 / 3
LCM(9291,9309) = 28829973

Least Common Multiple (LCM) of 9291 and 9309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9291 and 9309. First we will calculate the prime factors of 9291 and 9309.

Prime Factorization of 9291

Prime factors of 9291 are 3, 19, 163. Prime factorization of 9291 in exponential form is:

9291 = 31 × 191 × 1631

Prime Factorization of 9309

Prime factors of 9309 are 3, 29, 107. Prime factorization of 9309 in exponential form is:

9309 = 31 × 291 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 9291 and 9309.

LCM(9291,9309) = 31 × 191 × 1631 × 291 × 1071
LCM(9291,9309) = 28829973