Least Common Multiple of 47 and 59

How to find the Least Common Multiple of 47 and 59?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 47 and 59.

Follow the steps below, and let's calculate the LCM of 47 and 59.

Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 47 and 59:

Prime factors of 47

The prime factors of 47 are 47. Prime factorization of 47 in exponential form is:

47 = 47¹

Prime factors of 59

The prime factors of 59 are 59. Prime factorization of 59 in exponential form is:

59 = 59¹

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

47¹, 59¹

Step 3: Multiply these values together:

47¹x59¹=2773

Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 47 and 59.

The Least Common Multiple of 47 and 59 is 2773.

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 47:

47, 94, 141, 188, 235, 282, 329, 376, 423, 470, 517, 564, 611, 658, 705, 752, 799, 846, 893, 940, 987, 1034, 1081, 1128, 1175, 1222, 1269, 1316, 1363, 1410, 1457, 1504, 1551, 1598, 1645, 1692, 1739, 1786, 1833, 1880, 1927, 1974, 2021, 2068, 2115, 2162, 2209, 2256, 2303, 2350, 2397, 2444, 2491, 2538, 2585, 2632, 2679, 2726, 2773, 2820, 2867, 2914

Multiples of 59:

59, 118, 177, 236, 295, 354, 413, 472, 531, 590, 649, 708, 767, 826, 885, 944, 1003, 1062, 1121, 1180, 1239, 1298, 1357, 1416, 1475, 1534, 1593, 1652, 1711, 1770, 1829, 1888, 1947, 2006, 2065, 2124, 2183, 2242, 2301, 2360, 2419, 2478, 2537, 2596, 2655, 2714, 2773, 2832, 2891, 2950