 ## How to find the Least Common Multiple of 29 and 34?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 29 and 34.

Follow the steps below, and let's calculate the LCM of 29 and 34.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 29 and 34:

##### Prime factors of 29

The prime factors of 29 are 29. Prime factorization of 29 in exponential form is:

29 = 291

##### Prime factors of 34

The prime factors of 34 are 2 and 17. Prime factorization of 34 in exponential form is:

34 = 21x171

291, 21, 171

291x21x171=986

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 29 and 34.

The Least Common Multiple of 29 and 34 is 986.

### Method 2 - List of Multiples

Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.

#### Multiples of 29:

29, 58, 87, 116, 145, 174, 203, 232, 261, 290, 319, 348, 377, 406, 435, 464, 493, 522, 551, 580, 609, 638, 667, 696, 725, 754, 783, 812, 841, 870, 899, 928, 957, 986, 1015, 1044, 1073

#### Multiples of 34:

34, 68, 102, 136, 170, 204, 238, 272, 306, 340, 374, 408, 442, 476, 510, 544, 578, 612, 646, 680, 714, 748, 782, 816, 850, 884, 918, 952, 986, 1020, 1054, 1088

#### Therefore,

LCM(29, 34) = 986