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What is the Least Common Multiple of 9308 and 9319?

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 9308 and 9319 is 86741252.

LCM(9308,9319) = 86741252

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Least Common Multiple of 9308 and 9319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9308 and 9319, than apply into the LCM equation.

GCF(9308,9319) = 1
LCM(9308,9319) = ( 9308 × 9319) / 1
LCM(9308,9319) = 86741252 / 1
LCM(9308,9319) = 86741252

Least Common Multiple (LCM) of 9308 and 9319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9308 and 9319. First we will calculate the prime factors of 9308 and 9319.

Prime Factorization of 9308

Prime factors of 9308 are 2, 13, 179. Prime factorization of 9308 in exponential form is:

9308 = 22 × 131 × 1791

Prime Factorization of 9319

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

9319 = 93191

Now multiplying the highest exponent prime factors to calculate the LCM of 9308 and 9319.

LCM(9308,9319) = 22 × 131 × 1791 × 93191
LCM(9308,9319) = 86741252