Free LCM Calculator determines the least common multiple (LCM) between 4 and 11 the smallest integer that is 44 that is divisible by both numbers.

Least Common Multiple (LCM) of 4 and 11 is **44**.

LCM(4,11) = 44

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

- Least Common Multiple of 4 and 11 by Prime method
- Least Common Multiple of 4 and 11 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 4 and 11. First we will calculate the **prime factors of 4 and 11**.

**Prime Factorization of 4**

2 | 4 |

2 | 2 |

1 |

Prime factors of 4 are 2. Prime factorization of **4** in exponential form is:

4 = 2^{2}

**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 4 and 11**.

LCM(4,11) = 2^{2}×11^{1}

LCM(4,11) = 44

**Factors of 4**

List of positive integer factors of 4 that divides 4 without a remainder.

1, 2, 4

**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 4 and 11, than apply into the LCM equation.

GCF(4,11) = 1

LCM(4,11) = ( 4 × 11) / 1

LCM(4,11) = 44 / 1

LCM(4,11) = 44

(i) The LCM of 11 and 4 is associative

LCM of 4 and 11 = LCM of 11 and 4

1. What is the LCM of 4 and 11?

Answer: LCM of 4 and 11 is 44.

2. What are the Factors of 4?

Answer: Factors of 4 are 1, 2, 4. There are 3 integers that are factors of 4. The greatest factor of 4 is 4.

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 4 and 11?

Answer:

Least Common Multiple of 4 and 11 = 44

Step 1: Find the prime factorization of 4

4 = 2 x 2

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 = 44 = 2 x 2 x 11

Step 4: Therefore, the least common multiple of 4 and 11 is 44.