 ## How to find the Least Common Multiple of 46 and 51?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 46 and 51.

Follow the steps below, and let's calculate the LCM of 46 and 51.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 46 and 51:

##### Prime factors of 46

The prime factors of 46 are 2 and 23. Prime factorization of 46 in exponential form is:

46 = 21x231

##### Prime factors of 51

The prime factors of 51 are 3 and 17. Prime factorization of 51 in exponential form is:

51 = 31x171

21, 231, 31, 171

#### Step 3: Multiply these values together:

21x231x31x171=2346

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 46 and 51.

The Least Common Multiple of 46 and 51 is 2346.

### 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 46:

46, 92, 138, 184, 230, 276, 322, 368, 414, 460, 506, 552, 598, 644, 690, 736, 782, 828, 874, 920, 966, 1012, 1058, 1104, 1150, 1196, 1242, 1288, 1334, 1380, 1426, 1472, 1518, 1564, 1610, 1656, 1702, 1748, 1794, 1840, 1886, 1932, 1978, 2024, 2070, 2116, 2162, 2208, 2254, 2300, 2346, 2392, 2438, 2484

#### Multiples of 51:

51, 102, 153, 204, 255, 306, 357, 408, 459, 510, 561, 612, 663, 714, 765, 816, 867, 918, 969, 1020, 1071, 1122, 1173, 1224, 1275, 1326, 1377, 1428, 1479, 1530, 1581, 1632, 1683, 1734, 1785, 1836, 1887, 1938, 1989, 2040, 2091, 2142, 2193, 2244, 2295, 2346, 2397, 2448, 2499

#### Therefore,

LCM(46, 51) = 2346