Least Common Multiple of 5 and 11

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

• Least Common Multiple of 5 and 11 by Prime method
• Least Common Multiple of 5 and 11 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 5 and 11. First we will calculate the prime factors of 5 and 11.

Prime Factorization of 5

Prime factors of 5 are 5. Prime factorization of 5 in exponential form is:

5 = 5¹

Prime Factorization of 11

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

11 = 11¹

Now multiplying the highest exponent prime factors to calculate the LCM of 5 and 11.

LCM(5,11) = 5¹×11¹
LCM(5,11) = 55

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1, 5

Factors of 11

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

1, 11

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5 and 11, than apply into the LCM equation.

GCF(5,11) = 1
LCM(5,11) = ( 5 × 11) / 1
LCM(5,11) = 55 / 1
LCM(5,11) = 55

(i) The LCM of 11 and 5 is associative

LCM of 5 and 11 = LCM of 11 and 5

1. What is the LCM of 5 and 11?

Answer: LCM of 5 and 11 is 55.

2. What are the Factors of 5?

Answer: Factors of 5 are 1, 5. There are 2 integers that are factors of 5. The greatest factor of 5 is 5.

3. 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.

4. How to Find the LCM of 5 and 11?

Answer:

Least Common Multiple of 5 and 11 = 55

Step 1: Find the prime factorization of 5

5 = 5

Step 2: Find the prime factorization of 11

11 = 11

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

LCM = 55 = 5 x 11

Step 4: Therefore, the least common multiple of 5 and 11 is 55.