 ## How to find the Least Common Multiple of 54 and 64?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 54 and 64.

Follow the steps below, and let's calculate the LCM of 54 and 64.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 54 and 64:

##### Prime factors of 54

The prime factors of 54 are 2, 3, 3 and 3. Prime factorization of 54 in exponential form is:

54 = 21x33

##### Prime factors of 64

The prime factors of 64 are 2, 2, 2, 2, 2 and 2. Prime factorization of 64 in exponential form is:

64 = 26

26, 33

26x33=1728

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 54 and 64.

The Least Common Multiple of 54 and 64 is 1728.

### 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 54:

54, 108, 162, 216, 270, 324, 378, 432, 486, 540, 594, 648, 702, 756, 810, 864, 918, 972, 1026, 1080, 1134, 1188, 1242, 1296, 1350, 1404, 1458, 1512, 1566, 1620, 1674, 1728, 1782, 1836, 1890

#### Multiples of 64:

64, 128, 192, 256, 320, 384, 448, 512, 576, 640, 704, 768, 832, 896, 960, 1024, 1088, 1152, 1216, 1280, 1344, 1408, 1472, 1536, 1600, 1664, 1728, 1792, 1856, 1920

#### Therefore,

LCM(54, 64) = 1728