Least Common Multiple of 53 and 58

How to find the Least Common Multiple of 53 and 58?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 53 and 58.

Follow the steps below, and let's calculate the LCM of 53 and 58.

Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 53 and 58:

Prime factors of 53

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

53 = 53¹

Prime factors of 58

The prime factors of 58 are 2 and 29. Prime factorization of 58 in exponential form is:

58 = 2¹x29¹

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

53¹, 2¹, 29¹

Step 3: Multiply these values together:

53¹x2¹x29¹=3074

Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 53 and 58.

The Least Common Multiple of 53 and 58 is 3074.

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

Multiples of 58:

58, 116, 174, 232, 290, 348, 406, 464, 522, 580, 638, 696, 754, 812, 870, 928, 986, 1044, 1102, 1160, 1218, 1276, 1334, 1392, 1450, 1508, 1566, 1624, 1682, 1740, 1798, 1856, 1914, 1972, 2030, 2088, 2146, 2204, 2262, 2320, 2378, 2436, 2494, 2552, 2610, 2668, 2726, 2784, 2842, 2900, 2958, 3016, 3074, 3132, 3190, 3248