## How to find the Least Common Multiple of 53 and 59?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 53 and 59.

Follow the steps below, and let's calculate the LCM of 53 and 59.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 53 and 59:

##### Prime factors of 53

The prime factors of 53 are 53. Prime factorization of 53 in exponential form is:

53 = 531

##### Prime factors of 59

The prime factors of 59 are 59. Prime factorization of 59 in exponential form is:

59 = 591

531, 591

531x591=3127

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 53 and 59.

The Least Common Multiple of 53 and 59 is 3127.

### 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 53:

53, 106, 159, 212, 265, 318, 371, 424, 477, 530, 583, 636, 689, 742, 795, 848, 901, 954, 1007, 1060, 1113, 1166, 1219, 1272, 1325, 1378, 1431, 1484, 1537, 1590, 1643, 1696, 1749, 1802, 1855, 1908, 1961, 2014, 2067, 2120, 2173, 2226, 2279, 2332, 2385, 2438, 2491, 2544, 2597, 2650, 2703, 2756, 2809, 2862, 2915, 2968, 3021, 3074, 3127, 3180, 3233, 3286

#### Multiples of 59:

59, 118, 177, 236, 295, 354, 413, 472, 531, 590, 649, 708, 767, 826, 885, 944, 1003, 1062, 1121, 1180, 1239, 1298, 1357, 1416, 1475, 1534, 1593, 1652, 1711, 1770, 1829, 1888, 1947, 2006, 2065, 2124, 2183, 2242, 2301, 2360, 2419, 2478, 2537, 2596, 2655, 2714, 2773, 2832, 2891, 2950, 3009, 3068, 3127, 3186, 3245, 3304

#### Therefore,

LCM(53, 59) = 3127