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What is the Least Common Multiple of 9109 and 9117?

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 9109 and 9117 is 83046753.

LCM(9109,9117) = 83046753

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Least Common Multiple of 9109 and 9117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9109 and 9117, than apply into the LCM equation.

GCF(9109,9117) = 1
LCM(9109,9117) = ( 9109 × 9117) / 1
LCM(9109,9117) = 83046753 / 1
LCM(9109,9117) = 83046753

Least Common Multiple (LCM) of 9109 and 9117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9109 and 9117. First we will calculate the prime factors of 9109 and 9117.

Prime Factorization of 9109

Prime factors of 9109 are 9109. Prime factorization of 9109 in exponential form is:

9109 = 91091

Prime Factorization of 9117

Prime factors of 9117 are 3, 1013. Prime factorization of 9117 in exponential form is:

9117 = 32 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 9109 and 9117.

LCM(9109,9117) = 91091 × 32 × 10131
LCM(9109,9117) = 83046753