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What is the Least Common Multiple of 8328 and 8346?

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 8346 is 11584248.

LCM(8328,8346) = 11584248

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Least Common Multiple of 8328 and 8346 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 8346, than apply into the LCM equation.

GCF(8328,8346) = 6
LCM(8328,8346) = ( 8328 × 8346) / 6
LCM(8328,8346) = 69505488 / 6
LCM(8328,8346) = 11584248

Least Common Multiple (LCM) of 8328 and 8346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8328 and 8346. First we will calculate the prime factors of 8328 and 8346.

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 8346

Prime factors of 8346 are 2, 3, 13, 107. Prime factorization of 8346 in exponential form is:

8346 = 21 × 31 × 131 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 8328 and 8346.

LCM(8328,8346) = 23 × 31 × 3471 × 131 × 1071
LCM(8328,8346) = 11584248