Least Common Multiple  of 41 and 47 is 1927

How to find the Least Common Multiple of 41 and 47?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 41 and 47.

Follow the steps below, and let's calculate the LCM of 41 and 47.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 41 and 47:

Prime factors of 41

The prime factors of 41 are 41. Prime factorization of 41 in exponential form is:

41 = 411

Prime factors of 47

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

47 = 471


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

411, 471


Step 3: Multiply these values together:

411x471=1927


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 41 and 47.

The Least Common Multiple of 41 and 47 is 1927.


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 41:

41, 82, 123, 164, 205, 246, 287, 328, 369, 410, 451, 492, 533, 574, 615, 656, 697, 738, 779, 820, 861, 902, 943, 984, 1025, 1066, 1107, 1148, 1189, 1230, 1271, 1312, 1353, 1394, 1435, 1476, 1517, 1558, 1599, 1640, 1681, 1722, 1763, 1804, 1845, 1886, 1927, 1968, 2009, 2050

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


Therefore,

LCM(41, 47) = 1927