Least Common Multiple  of 52 and 61 is 3172

How to find the Least Common Multiple of 52 and 61?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 52 and 61.

Follow the steps below, and let's calculate the LCM of 52 and 61.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 52 and 61:

Prime factors of 52

The prime factors of 52 are 2, 2 and 13. Prime factorization of 52 in exponential form is:

52 = 22x131

Prime factors of 61

The prime factors of 61 are 61. Prime factorization of 61 in exponential form is:

61 = 611


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

22, 131, 611


Step 3: Multiply these values together:

22x131x611=3172


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 52 and 61.

The Least Common Multiple of 52 and 61 is 3172.


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 52:

52, 104, 156, 208, 260, 312, 364, 416, 468, 520, 572, 624, 676, 728, 780, 832, 884, 936, 988, 1040, 1092, 1144, 1196, 1248, 1300, 1352, 1404, 1456, 1508, 1560, 1612, 1664, 1716, 1768, 1820, 1872, 1924, 1976, 2028, 2080, 2132, 2184, 2236, 2288, 2340, 2392, 2444, 2496, 2548, 2600, 2652, 2704, 2756, 2808, 2860, 2912, 2964, 3016, 3068, 3120, 3172, 3224, 3276, 3328

Multiples of 61:

61, 122, 183, 244, 305, 366, 427, 488, 549, 610, 671, 732, 793, 854, 915, 976, 1037, 1098, 1159, 1220, 1281, 1342, 1403, 1464, 1525, 1586, 1647, 1708, 1769, 1830, 1891, 1952, 2013, 2074, 2135, 2196, 2257, 2318, 2379, 2440, 2501, 2562, 2623, 2684, 2745, 2806, 2867, 2928, 2989, 3050, 3111, 3172, 3233, 3294, 3355


Therefore,

LCM(52, 61) = 3172