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What is the Least Common Multiple of 92008 and 92017?

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 92008 and 92017 is 8466300136.

LCM(92008,92017) = 8466300136

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Least Common Multiple of 92008 and 92017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92008 and 92017, than apply into the LCM equation.

GCF(92008,92017) = 1
LCM(92008,92017) = ( 92008 × 92017) / 1
LCM(92008,92017) = 8466300136 / 1
LCM(92008,92017) = 8466300136

Least Common Multiple (LCM) of 92008 and 92017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92008 and 92017. First we will calculate the prime factors of 92008 and 92017.

Prime Factorization of 92008

Prime factors of 92008 are 2, 7, 31, 53. Prime factorization of 92008 in exponential form is:

92008 = 23 × 71 × 311 × 531

Prime Factorization of 92017

Prime factors of 92017 are 19, 29, 167. Prime factorization of 92017 in exponential form is:

92017 = 191 × 291 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 92008 and 92017.

LCM(92008,92017) = 23 × 71 × 311 × 531 × 191 × 291 × 1671
LCM(92008,92017) = 8466300136