How to find the Least Common Multiple of 44 and 49?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 44 and 49.
Follow the steps below, and let's calculate the LCM of 44 and 49.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 44 and 49:
Prime factors of 44
The prime factors of 44 are 2, 2 and 11. Prime factorization of 44 in exponential form is:
44 = 22x111
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, 111, 72
Step 3: Multiply these values together:
22x111x72=2156
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 44 and 49.
The Least Common Multiple of 44 and 49 is 2156.
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 44:
44, 88, 132, 176, 220, 264, 308, 352, 396, 440, 484, 528, 572, 616, 660, 704, 748, 792, 836, 880, 924, 968, 1012, 1056, 1100, 1144, 1188, 1232, 1276, 1320, 1364, 1408, 1452, 1496, 1540, 1584, 1628, 1672, 1716, 1760, 1804, 1848, 1892, 1936, 1980, 2024, 2068, 2112, 2156, 2200, 2244, 2288
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
Therefore,
LCM(44, 49) = 2156