Least Common Multiple  of 36 and 47 is 1692

How to find the Least Common Multiple of 36 and 47?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 36 and 47.

Follow the steps below, and let's calculate the LCM of 36 and 47.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 36 and 47:

Prime factors of 36

The prime factors of 36 are 2, 2, 3 and 3. Prime factorization of 36 in exponential form is:

36 = 22x32

Prime factors of 47

The prime factors of 47 are 47. Prime factorization of 47 in exponential form is:

47 = 471


Step 2: Identify the highest power of each prime number from the above boxes:

22, 32, 471


Step 3: Multiply these values together:

22x32x471=1692


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 36 and 47.

The Least Common Multiple of 36 and 47 is 1692.


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 36:

36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720, 756, 792, 828, 864, 900, 936, 972, 1008, 1044, 1080, 1116, 1152, 1188, 1224, 1260, 1296, 1332, 1368, 1404, 1440, 1476, 1512, 1548, 1584, 1620, 1656, 1692, 1728, 1764, 1800

Multiples of 47:

47, 94, 141, 188, 235, 282, 329, 376, 423, 470, 517, 564, 611, 658, 705, 752, 799, 846, 893, 940, 987, 1034, 1081, 1128, 1175, 1222, 1269, 1316, 1363, 1410, 1457, 1504, 1551, 1598, 1645, 1692, 1739, 1786, 1833


Therefore,

LCM(36, 47) = 1692