Least Common Multiple of 39 and 50

How to find the Least Common Multiple of 39 and 50?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 39 and 50.

Follow the steps below, and let's calculate the LCM of 39 and 50.

Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 39 and 50:

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 50

The prime factors of 50 are 2, 5 and 5. Prime factorization of 50 in exponential form is:

50 = 2¹x5²

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

3¹, 13¹, 2¹, 5²

Step 3: Multiply these values together:

3¹x13¹x2¹x5²=1950

Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 39 and 50.

The Least Common Multiple of 39 and 50 is 1950.

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, 1950, 1989, 2028, 2067

Multiples of 50:

50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650, 700, 750, 800, 850, 900, 950, 1000, 1050, 1100, 1150, 1200, 1250, 1300, 1350, 1400, 1450, 1500, 1550, 1600, 1650, 1700, 1750, 1800, 1850, 1900, 1950, 2000, 2050, 2100