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What is the Least Common Multiple of 8312 and 8331?

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 8312 and 8331 is 69247272.

LCM(8312,8331) = 69247272

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Least Common Multiple of 8312 and 8331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8312 and 8331, than apply into the LCM equation.

GCF(8312,8331) = 1
LCM(8312,8331) = ( 8312 × 8331) / 1
LCM(8312,8331) = 69247272 / 1
LCM(8312,8331) = 69247272

Least Common Multiple (LCM) of 8312 and 8331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8312 and 8331. First we will calculate the prime factors of 8312 and 8331.

Prime Factorization of 8312

Prime factors of 8312 are 2, 1039. Prime factorization of 8312 in exponential form is:

8312 = 23 × 10391

Prime Factorization of 8331

Prime factors of 8331 are 3, 2777. Prime factorization of 8331 in exponential form is:

8331 = 31 × 27771

Now multiplying the highest exponent prime factors to calculate the LCM of 8312 and 8331.

LCM(8312,8331) = 23 × 10391 × 31 × 27771
LCM(8312,8331) = 69247272