Least Common Multiple of 35 and 46

How to find the Least Common Multiple of 35 and 46?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 35 and 46.

Follow the steps below, and let's calculate the LCM of 35 and 46.

Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 35 and 46:

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 46

The prime factors of 46 are 2 and 23. Prime factorization of 46 in exponential form is:

46 = 2¹x23¹

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

5¹, 7¹, 2¹, 23¹

Step 3: Multiply these values together:

5¹x7¹x2¹x23¹=1610

Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 35 and 46.

The Least Common Multiple of 35 and 46 is 1610.

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

Multiples of 46:

46, 92, 138, 184, 230, 276, 322, 368, 414, 460, 506, 552, 598, 644, 690, 736, 782, 828, 874, 920, 966, 1012, 1058, 1104, 1150, 1196, 1242, 1288, 1334, 1380, 1426, 1472, 1518, 1564, 1610, 1656, 1702, 1748