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What is the Least Common Multiple of 95165 and 95174?

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 95165 and 95174 is 9057233710.

LCM(95165,95174) = 9057233710

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Least Common Multiple of 95165 and 95174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95165 and 95174, than apply into the LCM equation.

GCF(95165,95174) = 1
LCM(95165,95174) = ( 95165 × 95174) / 1
LCM(95165,95174) = 9057233710 / 1
LCM(95165,95174) = 9057233710

Least Common Multiple (LCM) of 95165 and 95174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95165 and 95174. First we will calculate the prime factors of 95165 and 95174.

Prime Factorization of 95165

Prime factors of 95165 are 5, 7, 2719. Prime factorization of 95165 in exponential form is:

95165 = 51 × 71 × 27191

Prime Factorization of 95174

Prime factors of 95174 are 2, 23, 2069. Prime factorization of 95174 in exponential form is:

95174 = 21 × 231 × 20691

Now multiplying the highest exponent prime factors to calculate the LCM of 95165 and 95174.

LCM(95165,95174) = 51 × 71 × 27191 × 21 × 231 × 20691
LCM(95165,95174) = 9057233710