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What is the Least Common Multiple of 9296 and 9300?

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 9296 and 9300 is 21613200.

LCM(9296,9300) = 21613200

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Least Common Multiple of 9296 and 9300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9296 and 9300, than apply into the LCM equation.

GCF(9296,9300) = 4
LCM(9296,9300) = ( 9296 × 9300) / 4
LCM(9296,9300) = 86452800 / 4
LCM(9296,9300) = 21613200

Least Common Multiple (LCM) of 9296 and 9300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9296 and 9300. First we will calculate the prime factors of 9296 and 9300.

Prime Factorization of 9296

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

9296 = 24 × 71 × 831

Prime Factorization of 9300

Prime factors of 9300 are 2, 3, 5, 31. Prime factorization of 9300 in exponential form is:

9300 = 22 × 31 × 52 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 9296 and 9300.

LCM(9296,9300) = 24 × 71 × 831 × 31 × 52 × 311
LCM(9296,9300) = 21613200