Least Common Multiple of 35 and 47

How to find the Least Common Multiple of 35 and 47?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 35 and 47.

Follow the steps below, and let's calculate the LCM of 35 and 47.

Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 35 and 47:

Prime factors of 35

The prime factors of 35 are 5 and 7. Prime factorization of 35 in exponential form is:

35 = 5¹x7¹

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:

5¹, 7¹, 47¹

Step 3: Multiply these values together:

5¹x7¹x47¹=1645

Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 35 and 47.

The Least Common Multiple of 35 and 47 is 1645.

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 35:

35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, 420, 455, 490, 525, 560, 595, 630, 665, 700, 735, 770, 805, 840, 875, 910, 945, 980, 1015, 1050, 1085, 1120, 1155, 1190, 1225, 1260, 1295, 1330, 1365, 1400, 1435, 1470, 1505, 1540, 1575, 1610, 1645, 1680, 1715, 1750

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