Free LCM Calculator determines the least common multiple (LCM) between 22 and 26 the smallest integer that is 286 that is divisible by both numbers.

Least Common Multiple (LCM) of 22 and 26 is **286**.

LCM(22,26) = 286

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

- Least Common Multiple of 22 and 26 by Prime method
- Least Common Multiple of 22 and 26 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 22 and 26. First we will calculate the **prime factors of 22 and 26**.

**Prime Factorization of 22**

2 | 22 |

11 | 11 |

1 |

Prime factors of 22 are 2,11. Prime factorization of **22** in exponential form is:

22 = 2^{1}×11^{1}

**Prime Factorization of 26**

2 | 26 |

13 | 13 |

1 |

Prime factors of 26 are 2,13. Prime factorization of **26** in exponential form is:

26 = 2^{1}×13^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 22 and 26**.

LCM(22,26) = 2^{1}×11^{1}×13^{1}

LCM(22,26) = 286

**Factors of 22**

List of positive integer factors of 22 that divides 22 without a remainder.

1, 2, 11, 22

**Factors of 26**

List of positive integer factors of 26 that divides 26 without a remainder.

1, 2, 13, 26

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

We need to calculate greatest common factor 22 and 26, than apply into the LCM equation.

GCF(22,26) = 2

LCM(22,26) = ( 22 × 26) / 2

LCM(22,26) = 572 / 2

LCM(22,26) = 286

(i) The LCM of 26 and 22 is associative

LCM of 22 and 26 = LCM of 26 and 22

1. What is the LCM of 22 and 26?

Answer: LCM of 22 and 26 is 286.

2. What are the Factors of 22?

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

3. What are the Factors of 26?

Answer: Factors of 26 are 1, 2, 13, 26. There are 4 integers that are factors of 26. The greatest factor of 26 is 26.

4. How to Find the LCM of 22 and 26?

Answer:

Least Common Multiple of 22 and 26 = 286

Step 1: Find the prime factorization of 22

22 = 2 x 11

Step 2: Find the prime factorization of 26

26 = 2 x 13

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

LCM = 286 = 2 x 11 x 13

Step 4: Therefore, the least common multiple of 22 and 26 is 286.