Free LCM Calculator determines the least common multiple (LCM) between 36 and 44 the smallest integer that is 396 that is divisible by both numbers.

Least Common Multiple (LCM) of 36 and 44 is **396**.

LCM(36,44) = 396

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

- Least Common Multiple of 36 and 44 by Prime method
- Least Common Multiple of 36 and 44 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36 and 44. First we will calculate the **prime factors of 36 and 44**.

**Prime Factorization of 36**

2 | 36 |

2 | 18 |

3 | 9 |

3 | 3 |

1 |

Prime factors of 36 are 2,3. Prime factorization of **36** in exponential form is:

36 = 2^{2}×3^{2}

**Prime Factorization of 44**

2 | 44 |

2 | 22 |

11 | 11 |

1 |

Prime factors of 44 are 2,11. Prime factorization of **44** in exponential form is:

44 = 2^{2}×11^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 36 and 44**.

LCM(36,44) = 2^{2}×3^{2}×11^{1}

LCM(36,44) = 396

**Factors of 36**

List of positive integer factors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

**Factors of 44**

List of positive integer factors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

The formula of **LCM** is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 36 and 44, than apply into the LCM equation.

GCF(36,44) = 4

LCM(36,44) = ( 36 × 44) / 4

LCM(36,44) = 1584 / 4

LCM(36,44) = 396

(i) The LCM of 44 and 36 is associative

LCM of 36 and 44 = LCM of 44 and 36

1. What is the LCM of 36 and 44?

Answer: LCM of 36 and 44 is 396.

2. What are the Factors of 36?

Answer: Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. There are 9 integers that are factors of 36. The greatest factor of 36 is 36.

3. What are the Factors of 44?

Answer: Factors of 44 are 1, 2, 4, 11, 22, 44. There are 6 integers that are factors of 44. The greatest factor of 44 is 44.

4. How to Find the LCM of 36 and 44?

Answer:

Least Common Multiple of 36 and 44 = 396

Step 1: Find the prime factorization of 36

36 = 2 x 2 x 3 x 3

Step 2: Find the prime factorization of 44

44 = 2 x 2 x 11

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

LCM = 396 = 2 x 2 x 3 x 3 x 11

Step 4: Therefore, the least common multiple of 36 and 44 is 396.