Least common multiple worksheets
Finding the least common multiple (LCM) of two numbers, the smallest number both divide into. It gives the common denominator when adding fractions.
Download the free least common multiple worksheet (PDF)
Least common multiple worksheet
Mixed GCF and LCM practice
What’s on the worksheet
- 50 questions on least common multiple, sized for US Letter paper
- 2 pages of questions plus an answer key on the last page
- Written for grade 6, matching Common Core 6.NS.B.4
- Name and date lines at the top, and room to show the work
Sample questions from this worksheet
- LCM of 3 and 11 =
- LCM of 4 and 11 =
- LCM of 11 and 7 =
- LCM of 3 and 12 =
- LCM of 6 and 3 =
- LCM of 12 and 2 =
Preview the worksheet and answer key
Make a new least common multiple worksheet
Need another page for extra practice, a retake or a second group in class? The free Mathify Kids test maker builds a fresh least common multiple worksheet with different numbers every time. Choose Core, Standard or Challenge level, print it with its own answer key, or let your child take it on screen and see the score straight away.
Least common multiple: a worked example (LCM of 6 and 8)
- Multiples of 6: 6, 12, 18, 24, 30 …
- Multiples of 8: 8, 16, 24, 32 …
- The first number in both lists is 24.
How to use it at home and in class
At home
List multiples of the bigger number first and check each one against the smaller number. Ten problems a day works better than a whole sheet at once. Mark them together with the answer key, then ask your child to explain one they got wrong: finding the mistake themselves is where the learning happens.
In class
Use the first row as a warm-up, a full page for independent practice, or five questions as an exit ticket. For a retake or a second group, make a new version with the test maker so every child gets different numbers.
Mistakes to watch for
- Multiplying the two numbers every time (6 × 8 = 48), which is common but not always least.
- Confusing LCM with GCF.
What to practice before and after least common multiple
- Before: greatest common factor. If this sheet is a struggle, go back a step.
- Learn it first: the least common multiple lesson and the factors and multiples chart.
More factors & multiples worksheets
Last reviewed
Questions parents ask
Is the LCM always the two numbers multiplied together?
Only when they share no factors except 1, like 4 and 9. For 6 and 8 the product is 48, but the LCM is 24.
What grade is this least common multiple worksheet for?
It is written for grade 6 and matches Common Core standard 6.NS.B.4.
Can I get a different version of this least common multiple worksheet?
Yes. Use the free Mathify Kids test maker to make a new least common multiple worksheet with different numbers every time, at Core, Standard or Challenge level, with its own answer key.