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What is the Least Common Multiple of 93311 and 93321?

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 93311 and 93321 is 8707875831.

LCM(93311,93321) = 8707875831

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Least Common Multiple of 93311 and 93321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93311 and 93321, than apply into the LCM equation.

GCF(93311,93321) = 1
LCM(93311,93321) = ( 93311 × 93321) / 1
LCM(93311,93321) = 8707875831 / 1
LCM(93311,93321) = 8707875831

Least Common Multiple (LCM) of 93311 and 93321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93311 and 93321. First we will calculate the prime factors of 93311 and 93321.

Prime Factorization of 93311

Prime factors of 93311 are 23, 4057. Prime factorization of 93311 in exponential form is:

93311 = 231 × 40571

Prime Factorization of 93321

Prime factors of 93321 are 3, 10369. Prime factorization of 93321 in exponential form is:

93321 = 32 × 103691

Now multiplying the highest exponent prime factors to calculate the LCM of 93311 and 93321.

LCM(93311,93321) = 231 × 40571 × 32 × 103691
LCM(93311,93321) = 8707875831