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What is the Least Common Multiple of 9288 and 9296?

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 9288 and 9296 is 10792656.

LCM(9288,9296) = 10792656

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Least Common Multiple of 9288 and 9296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9288 and 9296, than apply into the LCM equation.

GCF(9288,9296) = 8
LCM(9288,9296) = ( 9288 × 9296) / 8
LCM(9288,9296) = 86341248 / 8
LCM(9288,9296) = 10792656

Least Common Multiple (LCM) of 9288 and 9296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9288 and 9296. First we will calculate the prime factors of 9288 and 9296.

Prime Factorization of 9288

Prime factors of 9288 are 2, 3, 43. Prime factorization of 9288 in exponential form is:

9288 = 23 × 33 × 431

Prime Factorization of 9296

Prime factors of 9296 are 2, 7, 83. Prime factorization of 9296 in exponential form is:

9296 = 24 × 71 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 9288 and 9296.

LCM(9288,9296) = 24 × 33 × 431 × 71 × 831
LCM(9288,9296) = 10792656