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What is the Least Common Multiple of 92317 and 92321?

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 92321 is 8522797757.

LCM(92317,92321) = 8522797757

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Least Common Multiple of 92317 and 92321 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 92321, than apply into the LCM equation.

GCF(92317,92321) = 1
LCM(92317,92321) = ( 92317 × 92321) / 1
LCM(92317,92321) = 8522797757 / 1
LCM(92317,92321) = 8522797757

Least Common Multiple (LCM) of 92317 and 92321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92317 and 92321. First we will calculate the prime factors of 92317 and 92321.

Prime Factorization of 92317

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

92317 = 923171

Prime Factorization of 92321

Prime factors of 92321 are 19, 43, 113. Prime factorization of 92321 in exponential form is:

92321 = 191 × 431 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 92317 and 92321.

LCM(92317,92321) = 923171 × 191 × 431 × 1131
LCM(92317,92321) = 8522797757