Least Common Multiple of 49 and 55

How to find the Least Common Multiple of 49 and 55?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 49 and 55.

Follow the steps below, and let's calculate the LCM of 49 and 55.

Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 49 and 55:

Prime factors of 49

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

49 = 7²

Prime factors of 55

The prime factors of 55 are 5 and 11. Prime factorization of 55 in exponential form is:

55 = 5¹x11¹

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

7², 5¹, 11¹

Step 3: Multiply these values together:

7²x5¹x11¹=2695

Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 49 and 55.

The Least Common Multiple of 49 and 55 is 2695.

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 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, 1960, 2009, 2058, 2107, 2156, 2205, 2254, 2303, 2352, 2401, 2450, 2499, 2548, 2597, 2646, 2695, 2744, 2793, 2842

Multiples of 55:

55, 110, 165, 220, 275, 330, 385, 440, 495, 550, 605, 660, 715, 770, 825, 880, 935, 990, 1045, 1100, 1155, 1210, 1265, 1320, 1375, 1430, 1485, 1540, 1595, 1650, 1705, 1760, 1815, 1870, 1925, 1980, 2035, 2090, 2145, 2200, 2255, 2310, 2365, 2420, 2475, 2530, 2585, 2640, 2695, 2750, 2805, 2860