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What is the Least Common Multiple of 91165 and 91183?

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 91165 and 91183 is 8312698195.

LCM(91165,91183) = 8312698195

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Least Common Multiple of 91165 and 91183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91165 and 91183, than apply into the LCM equation.

GCF(91165,91183) = 1
LCM(91165,91183) = ( 91165 × 91183) / 1
LCM(91165,91183) = 8312698195 / 1
LCM(91165,91183) = 8312698195

Least Common Multiple (LCM) of 91165 and 91183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91165 and 91183. First we will calculate the prime factors of 91165 and 91183.

Prime Factorization of 91165

Prime factors of 91165 are 5, 18233. Prime factorization of 91165 in exponential form is:

91165 = 51 × 182331

Prime Factorization of 91183

Prime factors of 91183 are 91183. Prime factorization of 91183 in exponential form is:

91183 = 911831

Now multiplying the highest exponent prime factors to calculate the LCM of 91165 and 91183.

LCM(91165,91183) = 51 × 182331 × 911831
LCM(91165,91183) = 8312698195