Free LCM Calculator determines the least common multiple (LCM) between 5 and 11 the smallest integer that is 55 that is divisible by both numbers.

Least Common Multiple (LCM) of 5 and 11 is **55**.

LCM(5,11) = 55

*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**

5 | 5 |

1 |

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

5 = 5^{1}

**Prime Factorization of 11**

11 | 11 |

1 |

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

11 = 11^{1}

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

LCM(5,11) = 5^{1}×11^{1}

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.