Find the Least Common Multiple or L.C.M of 2 and 5?

To find the Least Common Multiple (L.C.M) of 2 and 5, follow these steps:

Step 1: Understand the concept of L.C.M The L.C.M of two numbers is the smallest positive integer that is divisible by both numbers.

Step 2: List the multiples of each number

Multiples of 2: 2, 4, 6, 8, 10, 12, ...
Multiples of 5: 5, 10, 15, 20, 25, ...
Step 3: Identify the common multiples From the above lists, the common multiples of 2 and 5 are: 10, 20, 30, ...

Step 4: Choose the smallest common multiple The smallest common multiple is 10. Therefore, the L.C.M of 2 and 5 is 10.

Step 5: Verify the result

10 is divisible by 2 (10 ÷ 2 = 5, no remainder).
10 is divisible by 5 (10 ÷ 5 = 2, no remainder).
Thus, the L.C.M of 2 and 5 is 10.