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What is the Least Common Multiple of 9171 and 9191?

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 9171 and 9191 is 84290661.

LCM(9171,9191) = 84290661

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Least Common Multiple of 9171 and 9191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9171 and 9191, than apply into the LCM equation.

GCF(9171,9191) = 1
LCM(9171,9191) = ( 9171 × 9191) / 1
LCM(9171,9191) = 84290661 / 1
LCM(9171,9191) = 84290661

Least Common Multiple (LCM) of 9171 and 9191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9171 and 9191. First we will calculate the prime factors of 9171 and 9191.

Prime Factorization of 9171

Prime factors of 9171 are 3, 1019. Prime factorization of 9171 in exponential form is:

9171 = 32 × 10191

Prime Factorization of 9191

Prime factors of 9191 are 7, 13, 101. Prime factorization of 9191 in exponential form is:

9191 = 71 × 131 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 9171 and 9191.

LCM(9171,9191) = 32 × 10191 × 71 × 131 × 1011
LCM(9171,9191) = 84290661