**The Highest Common Factor (HCF) is the largest number that divides two or more numbers exactly without leaving a remainder.** It is also known as the Greatest Common Divisor (GCD).

Let's take an example to understand this concept.

**Find the HCF of 24 and 36.**

First, we list all the factors of 24 and 36: 24: 1, 2, 3, 4, 6, 8, 12, 24 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

**The common factors are** 1, 2, 3, 4, 6, and 12. Therefore, **the HCF of 24 and 36 is 12.**

Now, let's move on to the Lowest Common Multiple (LCM) concept. **The Lowest Common Multiple (LCM) is the smallest number, a multiple of two or more numbers.**

Let's take an example to understand this concept.

**Find the LCM of 12 and 15.**

First, **we list the multiples **of 12 and 15: 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120... 15: 15, 30, 45, 60, 75, 90, 105, 120...

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