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What is the Least Common Multiple of 9217 and 9233?

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 9217 and 9233 is 85100561.

LCM(9217,9233) = 85100561

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Least Common Multiple of 9217 and 9233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9217 and 9233, than apply into the LCM equation.

GCF(9217,9233) = 1
LCM(9217,9233) = ( 9217 × 9233) / 1
LCM(9217,9233) = 85100561 / 1
LCM(9217,9233) = 85100561

Least Common Multiple (LCM) of 9217 and 9233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9217 and 9233. First we will calculate the prime factors of 9217 and 9233.

Prime Factorization of 9217

Prime factors of 9217 are 13, 709. Prime factorization of 9217 in exponential form is:

9217 = 131 × 7091

Prime Factorization of 9233

Prime factors of 9233 are 7, 1319. Prime factorization of 9233 in exponential form is:

9233 = 71 × 13191

Now multiplying the highest exponent prime factors to calculate the LCM of 9217 and 9233.

LCM(9217,9233) = 131 × 7091 × 71 × 13191
LCM(9217,9233) = 85100561