Least Common Multiple of 11 and 13

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

• Least Common Multiple of 11 and 13 by Prime method
• Least Common Multiple of 11 and 13 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 11 and 13. First we will calculate the prime factors of 11 and 13.

Prime Factorization of 11

Prime factors of 11 are 11. Prime factorization of 11 in exponential form is:

11 = 11¹

Prime Factorization of 13

Prime factors of 13 are 13. Prime factorization of 13 in exponential form is:

13 = 13¹

Now multiplying the highest exponent prime factors to calculate the LCM of 11 and 13.

LCM(11,13) = 11¹×13¹
LCM(11,13) = 143

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1, 11

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1, 13

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11 and 13, than apply into the LCM equation.

GCF(11,13) = 1
LCM(11,13) = ( 11 × 13) / 1
LCM(11,13) = 143 / 1
LCM(11,13) = 143

(i) The LCM of 13 and 11 is associative

LCM of 11 and 13 = LCM of 13 and 11

1. What is the LCM of 11 and 13?

Answer: LCM of 11 and 13 is 143.

2. What are the Factors of 11?

Answer: Factors of 11 are 1, 11. There are 2 integers that are factors of 11. The greatest factor of 11 is 11.

3. What are the Factors of 13?

Answer: Factors of 13 are 1, 13. There are 2 integers that are factors of 13. The greatest factor of 13 is 13.

4. How to Find the LCM of 11 and 13?

Answer:

Least Common Multiple of 11 and 13 = 143

Step 1: Find the prime factorization of 11

11 = 11

Step 2: Find the prime factorization of 13

13 = 13

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

LCM = 143 = 11 x 13

Step 4: Therefore, the least common multiple of 11 and 13 is 143.