How to find the Least Common Multiple of 49 and 53?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 49 and 53.
Follow the steps below, and let's calculate the LCM of 49 and 53.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 49 and 53:
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 53
The prime factors of 53 are 53. Prime factorization of 53 in exponential form is:
53 = 531
Step 2: Identify the highest power of each prime number from the above boxes:
72, 531
Step 3: Multiply these values together:
72x531=2597
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 49 and 53.
The Least Common Multiple of 49 and 53 is 2597.
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
Multiples of 53:
53, 106, 159, 212, 265, 318, 371, 424, 477, 530, 583, 636, 689, 742, 795, 848, 901, 954, 1007, 1060, 1113, 1166, 1219, 1272, 1325, 1378, 1431, 1484, 1537, 1590, 1643, 1696, 1749, 1802, 1855, 1908, 1961, 2014, 2067, 2120, 2173, 2226, 2279, 2332, 2385, 2438, 2491, 2544, 2597, 2650, 2703, 2756
Therefore,
LCM(49, 53) = 2597