Least Common Multiple of 8339 and 8346

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

• Least Common Multiple of 8339 and 8346 by Prime method
• Least Common Multiple of 8339 and 8346 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 8339 and 8346. First we will calculate the prime factors of 8339 and 8346.

Prime Factorization of 8339

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

8339 = 31¹×269¹

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 8339 and 8346.

LCM(8339,8346) = 2¹×3¹×13¹×31¹×107¹×269¹
LCM(8339,8346) = 69597294

Factors of 8339

List of positive integer factors of 8339 that divides 8339 without a remainder.

1, 31, 269, 8339

Factors of 8346

List of positive integer factors of 8346 that divides 8346 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 107, 214, 321, 642, 1391, 2782, 4173, 8346

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8339 and 8346, than apply into the LCM equation.

GCF(8339,8346) = 1
LCM(8339,8346) = ( 8339 × 8346) / 1
LCM(8339,8346) = 69597294 / 1
LCM(8339,8346) = 69597294

(i) The LCM of 8346 and 8339 is associative

LCM of 8339 and 8346 = LCM of 8346 and 8339

1. What is the LCM of 8339 and 8346?

Answer: LCM of 8339 and 8346 is 69597294.

2. What are the Factors of 8339?

Answer: Factors of 8339 are 1, 31, 269, 8339. There are 4 integers that are factors of 8339. The greatest factor of 8339 is 8339.

3. What are the Factors of 8346?

Answer: Factors of 8346 are 1, 2, 3, 6, 13, 26, 39, 78, 107, 214, 321, 642, 1391, 2782, 4173, 8346. There are 16 integers that are factors of 8346. The greatest factor of 8346 is 8346.

4. How to Find the LCM of 8339 and 8346?

Answer:

Least Common Multiple of 8339 and 8346 = 69597294

Step 1: Find the prime factorization of 8339

8339 = 31 x 269

Step 2: Find the prime factorization of 8346

8346 = 2 x 3 x 13 x 107

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 69597294 = 2 x 3 x 13 x 31 x 107 x 269

Step 4: Therefore, the least common multiple of 8339 and 8346 is 69597294.