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What is the Least Common Multiple of 8319 and 8337?

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 8319 and 8337 is 23118501.

LCM(8319,8337) = 23118501

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Least Common Multiple of 8319 and 8337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8319 and 8337, than apply into the LCM equation.

GCF(8319,8337) = 3
LCM(8319,8337) = ( 8319 × 8337) / 3
LCM(8319,8337) = 69355503 / 3
LCM(8319,8337) = 23118501

Least Common Multiple (LCM) of 8319 and 8337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8319 and 8337. First we will calculate the prime factors of 8319 and 8337.

Prime Factorization of 8319

Prime factors of 8319 are 3, 47, 59. Prime factorization of 8319 in exponential form is:

8319 = 31 × 471 × 591

Prime Factorization of 8337

Prime factors of 8337 are 3, 7, 397. Prime factorization of 8337 in exponential form is:

8337 = 31 × 71 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 8319 and 8337.

LCM(8319,8337) = 31 × 471 × 591 × 71 × 3971
LCM(8319,8337) = 23118501