# Lowest Common Multiple (LCM) & Highest Common Factor (HCF)

These lessons, with videos, examples and step-by-step solutions, help GCSE Maths students learn how to find the highest common factor (HCF) and lowest common multiple (LCM).

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The following diagrams show how to find the lowest common multiple and highest common factor. Scroll down the page for more examples and solutions on lowest common multiple and highest common factor. How to work out HCF and LCM using short division or ladder method?

How to work out the Highest Common Factor and Lowest Common Multiple using short division?
Useful for quick calculations where a factor tree isn’t required. GCSE.

Example:
Find the HCF and LCM of 108 and 24.

How to find HCF and LCM using the ladder method?
This video will teach you how to find the highest common factor (HCF) and lowest common multiple (LCM) for 2 numbers.

Example:
Find the HCF and LCM of 24 and 36.

Finding the LCM using the “Ladder” Method

Example:
Find the LCM of 16 and 40.

Finding the GCF using the “Ladder” Method

Example:
Find the GCF and LCM of 24 and 40.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 