Least Common Multiple of 40 and 51

How to find the Least Common Multiple of 40 and 51?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 40 and 51.

Follow the steps below, and let's calculate the LCM of 40 and 51.

Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 40 and 51:

Prime factors of 40

The prime factors of 40 are 2, 2, 2 and 5. Prime factorization of 40 in exponential form is:

40 = 2³x5¹

Prime factors of 51

The prime factors of 51 are 3 and 17. Prime factorization of 51 in exponential form is:

51 = 3¹x17¹

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

2³, 5¹, 3¹, 17¹

Step 3: Multiply these values together:

2³x5¹x3¹x17¹=2040

Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 40 and 51.

The Least Common Multiple of 40 and 51 is 2040.

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 40:

40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, 920, 960, 1000, 1040, 1080, 1120, 1160, 1200, 1240, 1280, 1320, 1360, 1400, 1440, 1480, 1520, 1560, 1600, 1640, 1680, 1720, 1760, 1800, 1840, 1880, 1920, 1960, 2000, 2040, 2080, 2120, 2160

Multiples of 51:

51, 102, 153, 204, 255, 306, 357, 408, 459, 510, 561, 612, 663, 714, 765, 816, 867, 918, 969, 1020, 1071, 1122, 1173, 1224, 1275, 1326, 1377, 1428, 1479, 1530, 1581, 1632, 1683, 1734, 1785, 1836, 1887, 1938, 1989, 2040, 2091, 2142, 2193