HCF and LCM
Find highest common factor and lowest common multiple using prime factorisation
What you'll learn
- 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
What's the biggest number that divides both 12 and 8?
- 3
Let's find the HCF of 12 and 8 using a number line. Hop to the numbers that divide 12 and 8!
- 4
Find the HCF of 18 and 24. Let's do it step by step.
- 5
What is the HCF of 18 and 24?
- 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
Find the LCM of 4 and 6 on this number line. Hop to the multiples!
- 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.