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What is the Least Common Multiple of 9116 and 9133?

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 9116 and 9133 is 83256428.

LCM(9116,9133) = 83256428

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Least Common Multiple of 9116 and 9133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9116 and 9133, than apply into the LCM equation.

GCF(9116,9133) = 1
LCM(9116,9133) = ( 9116 × 9133) / 1
LCM(9116,9133) = 83256428 / 1
LCM(9116,9133) = 83256428

Least Common Multiple (LCM) of 9116 and 9133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9116 and 9133. First we will calculate the prime factors of 9116 and 9133.

Prime Factorization of 9116

Prime factors of 9116 are 2, 43, 53. Prime factorization of 9116 in exponential form is:

9116 = 22 × 431 × 531

Prime Factorization of 9133

Prime factors of 9133 are 9133. Prime factorization of 9133 in exponential form is:

9133 = 91331

Now multiplying the highest exponent prime factors to calculate the LCM of 9116 and 9133.

LCM(9116,9133) = 22 × 431 × 531 × 91331
LCM(9116,9133) = 83256428