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What is the Least Common Multiple of 8315 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 8315 and 8331 is 69272265.

LCM(8315,8331) = 69272265

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Least Common Multiple of 8315 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 8315 and 8331, than apply into the LCM equation.

GCF(8315,8331) = 1
LCM(8315,8331) = ( 8315 × 8331) / 1
LCM(8315,8331) = 69272265 / 1
LCM(8315,8331) = 69272265

Least Common Multiple (LCM) of 8315 and 8331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8315 and 8331. First we will calculate the prime factors of 8315 and 8331.

Prime Factorization of 8315

Prime factors of 8315 are 5, 1663. Prime factorization of 8315 in exponential form is:

8315 = 51 × 16631

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 8315 and 8331.

LCM(8315,8331) = 51 × 16631 × 31 × 27771
LCM(8315,8331) = 69272265