Least Common Multiple of 53 and 61

How to find the Least Common Multiple of 53 and 61?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 53 and 61.

Follow the steps below, and let's calculate the LCM of 53 and 61.

Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 53 and 61:

Prime factors of 53

The prime factors of 53 are 53. Prime factorization of 53 in exponential form is:

53 = 53¹

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:

53¹, 61¹

Step 3: Multiply these values together:

53¹x61¹=3233

Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 53 and 61.

The Least Common Multiple of 53 and 61 is 3233.

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 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, 2809, 2862, 2915, 2968, 3021, 3074, 3127, 3180, 3233, 3286, 3339, 3392

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, 3416