Least Common Multiple of 12831 and 12833

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

• Least Common Multiple of 12831 and 12833 by Prime method
• Least Common Multiple of 12831 and 12833 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 12831 and 12833. First we will calculate the prime factors of 12831 and 12833.

Prime Factorization of 12831

Prime factors of 12831 are 3, 7, 13,47. Prime factorization of 12831 in exponential form is:

12831 = 3¹×7¹×13¹×47¹

Prime Factorization of 12833

Prime factors of 12833 are 41,313. Prime factorization of 12833 in exponential form is:

12833 = 41¹×313¹

Now multiplying the highest exponent prime factors to calculate the LCM of 12831 and 12833.

LCM(12831,12833) = 3¹×7¹×13¹×41¹×47¹×313¹
LCM(12831,12833) = 164660223

Factors of 12831

List of positive integer factors of 12831 that divides 12831 without a remainder.

1, 3, 7, 13, 21, 39, 47, 91, 141, 273, 329, 611, 987, 1833, 4277, 12831

Factors of 12833

List of positive integer factors of 12833 that divides 12833 without a remainder.

1, 41, 313, 12833

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12831 and 12833, than apply into the LCM equation.

GCF(12831,12833) = 1
LCM(12831,12833) = ( 12831 × 12833) / 1
LCM(12831,12833) = 164660223 / 1
LCM(12831,12833) = 164660223

(i) The LCM of 12833 and 12831 is associative

LCM of 12831 and 12833 = LCM of 12833 and 12831

1. What is the LCM of 12831 and 12833?

Answer: LCM of 12831 and 12833 is 164660223.

2. What are the Factors of 12831?

Answer: Factors of 12831 are 1, 3, 7, 13, 21, 39, 47, 91, 141, 273, 329, 611, 987, 1833, 4277, 12831. There are 16 integers that are factors of 12831. The greatest factor of 12831 is 12831.

3. What are the Factors of 12833?

Answer: Factors of 12833 are 1, 41, 313, 12833. There are 4 integers that are factors of 12833. The greatest factor of 12833 is 12833.

4. How to Find the LCM of 12831 and 12833?

Answer:

Least Common Multiple of 12831 and 12833 = 164660223

Step 1: Find the prime factorization of 12831

12831 = 3 x 7 x 13 x 47

Step 2: Find the prime factorization of 12833

12833 = 41 x 313

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

LCM = 164660223 = 3 x 7 x 13 x 41 x 47 x 313

Step 4: Therefore, the least common multiple of 12831 and 12833 is 164660223.