Least common multiple, step by step

The least common multiple is the smallest number that two values both divide into.

The question

LCM of 6 and 9

6:61218
6:61218
9:918
6:61218
9:918
6:61218
9:918
LCM=18
  1. Count up in 6s.
  2. Now count up in 9s.
  3. 18 turns up in every list — it is the first number all of them reach.
  4. Nothing smaller is in all of them, so 18 is the least common multiple.

How it works.

  1. 01

    Count up in 6s.

  2. 02

    Now count up in 9s.

  3. 03

    18 turns up in every list — it is the first number all of them reach.

  4. 04

    Nothing smaller is in all of them, so 18 is the least common multiple.