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What is the Least Common Multiple of 92317 and 92331?

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 92317 and 92331 is 8523720927.

LCM(92317,92331) = 8523720927

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Least Common Multiple of 92317 and 92331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92317 and 92331, than apply into the LCM equation.

GCF(92317,92331) = 1
LCM(92317,92331) = ( 92317 × 92331) / 1
LCM(92317,92331) = 8523720927 / 1
LCM(92317,92331) = 8523720927

Least Common Multiple (LCM) of 92317 and 92331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92317 and 92331. First we will calculate the prime factors of 92317 and 92331.

Prime Factorization of 92317

Prime factors of 92317 are 92317. Prime factorization of 92317 in exponential form is:

92317 = 923171

Prime Factorization of 92331

Prime factors of 92331 are 3, 10259. Prime factorization of 92331 in exponential form is:

92331 = 32 × 102591

Now multiplying the highest exponent prime factors to calculate the LCM of 92317 and 92331.

LCM(92317,92331) = 923171 × 32 × 102591
LCM(92317,92331) = 8523720927