Mastering HCF and LCM: Finding the common factors and multiples

🔢 HCF is the highest common factor of two numbers and can be found by listing out the common factors or prime factors of the numbers.

✖️ Each number can be represented as the product of the HCF and another number.

➗ LCM is the least common multiple of two numbers and can be found by listing out the multiples of the numbers.

🔢 The first two common multiples of 12 and 18 are 36 and 72.

🔍 The LCM of two numbers can be found by expressing each number as a product of prime factors.

🔀 To find two numbers with a given HCF and LCM, express the LCM as a product of the HCF and prime factors, then form the numbers using the prime factors.