Least Common Multiple  of 36 and 49 is 1764

How to find the Least Common Multiple of 36 and 49?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 36 and 49.

Follow the steps below, and let's calculate the LCM of 36 and 49.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 36 and 49:

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 49

The prime factors of 49 are 7 and 7. Prime factorization of 49 in exponential form is:

49 = 72


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

22, 32, 72


Step 3: Multiply these values together:

22x32x72=1764


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 36 and 49.

The Least Common Multiple of 36 and 49 is 1764.


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, 1836, 1872

Multiples of 49:

49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, 588, 637, 686, 735, 784, 833, 882, 931, 980, 1029, 1078, 1127, 1176, 1225, 1274, 1323, 1372, 1421, 1470, 1519, 1568, 1617, 1666, 1715, 1764, 1813, 1862, 1911


Therefore,

LCM(36, 49) = 1764