MathsYears 7–9Number

HCF and LCM

Find highest common factor and lowest common multiple using prime factorisation

What you'll learn

  1. 1

    Imagine you have 12 red sweets and 8 blue sweets. You want to share them into bags so each bag has the same mix — that's the Highest Common Factor (HCF)!

  2. 2

    What's the biggest number that divides both 12 and 8?

  3. 3

    Let's find the HCF of 12 and 8 using a number line. Hop to the numbers that divide 12 and 8!

  4. 4

    Find the HCF of 18 and 24. Let's do it step by step.

  5. 5

    What is the HCF of 18 and 24?

  6. 6

    Now think about LCM — Least Common Multiple. Imagine you have two clocks: one rings every 4 minutes, another every 6 minutes. When will they ring together? That's the LCM!

  7. 7

    Find the LCM of 4 and 6 on this number line. Hop to the multiples!

  8. 8

    Find the LCM of 6 and 9.

Practise HCF and LCM with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 11–14. Aligned to the UK National Curriculum.