Least common multiple (LCM)

  • Level: Grade 5 – Grade 6
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  • Answer key included

The least common multiple is the smallest number that both numbers divide into exactly. It gives the least common denominator when adding fractions.

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Grade 5 – Grade 6
Least common multiple (LCM)

Find the least common multiple.

Name Date Score / 16
  1. 1.
    LCM of 8 and 15 =
  2. 2.
    LCM of 14 and 15 =
  3. 3.
    LCM of 7 and 15 =
  4. 4.
    LCM of 6 and 4 =
  5. 5.
    LCM of 4 and 15 =
  6. 6.
    LCM of 3 and 7 =
  7. 7.
    LCM of 12 and 10 =
  8. 8.
    LCM of 12 and 14 =
  9. 9.
    LCM of 10 and 7 =
  10. 10.
    LCM of 14 and 8 =
  11. 11.
    LCM of 15 and 3 =
  12. 12.
    LCM of 2 and 10 =
  13. 13.
    LCM of 13 and 5 =
  14. 14.
    LCM of 3 and 8 =
  15. 15.
    LCM of 9 and 12 =
  16. 16.
    LCM of 4 and 12 =
MathSheetLab · mathlabs.pages.devWorksheet #937067
Grade 5 – Grade 6
Least common multiple (LCM)Answer key
  1. 1.
    LCM of 8 and 15 = 120
  2. 2.
    LCM of 14 and 15 = 210
  3. 3.
    LCM of 7 and 15 = 105
  4. 4.
    LCM of 6 and 4 = 12
  5. 5.
    LCM of 4 and 15 = 60
  6. 6.
    LCM of 3 and 7 = 21
  7. 7.
    LCM of 12 and 10 = 60
  8. 8.
    LCM of 12 and 14 = 84
  9. 9.
    LCM of 10 and 7 = 70
  10. 10.
    LCM of 14 and 8 = 56
  11. 11.
    LCM of 15 and 3 = 15
  12. 12.
    LCM of 2 and 10 = 10
  13. 13.
    LCM of 13 and 5 = 65
  14. 14.
    LCM of 3 and 8 = 24
  15. 15.
    LCM of 9 and 12 = 36
  16. 16.
    LCM of 4 and 12 = 12
MathSheetLab · mathlabs.pages.devWorksheet #937067

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Worked example

LCM of 5 and 12 =
  1. List multiples of the larger number, 12: 12, 24, 36, 48, 60.
  2. The first one that 5 divides exactly is 60 (60 ÷ 5 = 12).

Answer: 60

Teaching tips

  • List multiples of the larger number until one is also a multiple of the smaller number.

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