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What is the Least Common Multiple of 8328 and 8339?

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 8328 and 8339 is 69447192.

LCM(8328,8339) = 69447192

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Least Common Multiple of 8328 and 8339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8328 and 8339, than apply into the LCM equation.

GCF(8328,8339) = 1
LCM(8328,8339) = ( 8328 × 8339) / 1
LCM(8328,8339) = 69447192 / 1
LCM(8328,8339) = 69447192

Least Common Multiple (LCM) of 8328 and 8339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8328 and 8339. First we will calculate the prime factors of 8328 and 8339.

Prime Factorization of 8328

Prime factors of 8328 are 2, 3, 347. Prime factorization of 8328 in exponential form is:

8328 = 23 × 31 × 3471

Prime Factorization of 8339

Prime factors of 8339 are 31, 269. Prime factorization of 8339 in exponential form is:

8339 = 311 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 8328 and 8339.

LCM(8328,8339) = 23 × 31 × 3471 × 311 × 2691
LCM(8328,8339) = 69447192