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What is the Least Common Multiple of 9165 and 9171?

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 9165 and 9171 is 28017405.

LCM(9165,9171) = 28017405

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Least Common Multiple of 9165 and 9171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9165 and 9171, than apply into the LCM equation.

GCF(9165,9171) = 3
LCM(9165,9171) = ( 9165 × 9171) / 3
LCM(9165,9171) = 84052215 / 3
LCM(9165,9171) = 28017405

Least Common Multiple (LCM) of 9165 and 9171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9165 and 9171. First we will calculate the prime factors of 9165 and 9171.

Prime Factorization of 9165

Prime factors of 9165 are 3, 5, 13, 47. Prime factorization of 9165 in exponential form is:

9165 = 31 × 51 × 131 × 471

Prime Factorization of 9171

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

9171 = 32 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 9165 and 9171.

LCM(9165,9171) = 32 × 51 × 131 × 471 × 10191
LCM(9165,9171) = 28017405