Least Common Multiple

The least of the common multiples is their least common multiple

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About This Practice

Let 4 and 6 hop along the number line: 4 lands on 4, 8, 12, 16… while 6 lands on 6, 12, 18… The stops they share — 12, 24 — are the common multiples, and the smallest one, 12, is the least common multiple (LCM) of 4 and 6. Common multiples never run out, but the least one is the most useful — for meeting-up puzzles and for common denominators.

The multiples of 4 and 6 hop onto a number line one by one: numbers both rows land on are common multiples, and the smallest one gets crowned — that is the least common multiple. Replay the hops, or deal a new random pair and jump again.

MediumEstimated Time: 10minleast common multiplecommon multiplesnumber linemultiples

How to Play

  1. Watch the first row: the multiples of the first number hop out one by one.
  2. Then the second row: the multiples of the other number.
  3. Find the stops both rows land on: the common multiples.
  4. At the highlighted column, the smallest one wears the ring — the least common multiple.
  5. Tap “New Pair” and let two fresh numbers hop.

Learning Objectives

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