Least Common Multiple of 39 and 46

How to find the Least Common Multiple of 39 and 46?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 39 and 46.

Follow the steps below, and let's calculate the LCM of 39 and 46.

Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 39 and 46:

Prime factors of 39

The prime factors of 39 are 3 and 13. Prime factorization of 39 in exponential form is:

39 = 3¹x13¹

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:

3¹, 13¹, 2¹, 23¹

Step 3: Multiply these values together:

3¹x13¹x2¹x23¹=1794

Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 39 and 46.

The Least Common Multiple of 39 and 46 is 1794.

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 39:

39, 78, 117, 156, 195, 234, 273, 312, 351, 390, 429, 468, 507, 546, 585, 624, 663, 702, 741, 780, 819, 858, 897, 936, 975, 1014, 1053, 1092, 1131, 1170, 1209, 1248, 1287, 1326, 1365, 1404, 1443, 1482, 1521, 1560, 1599, 1638, 1677, 1716, 1755, 1794, 1833, 1872, 1911

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, 1794, 1840, 1886, 1932