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What is the Least Common Multiple of 98317 and 98321?

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 98317 and 98321 is 9666625757.

LCM(98317,98321) = 9666625757

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Least Common Multiple of 98317 and 98321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98317 and 98321, than apply into the LCM equation.

GCF(98317,98321) = 1
LCM(98317,98321) = ( 98317 × 98321) / 1
LCM(98317,98321) = 9666625757 / 1
LCM(98317,98321) = 9666625757

Least Common Multiple (LCM) of 98317 and 98321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98317 and 98321. First we will calculate the prime factors of 98317 and 98321.

Prime Factorization of 98317

Prime factors of 98317 are 98317. Prime factorization of 98317 in exponential form is:

98317 = 983171

Prime Factorization of 98321

Prime factors of 98321 are 98321. Prime factorization of 98321 in exponential form is:

98321 = 983211

Now multiplying the highest exponent prime factors to calculate the LCM of 98317 and 98321.

LCM(98317,98321) = 983171 × 983211
LCM(98317,98321) = 9666625757