Math Home
Previous
East Africa p.6 Math
Next

6. Least Common Multiple (LCM)

The least common multiple, or LCM, of numbers \(a\) and \(b\) is the smallest whole number \(m > 1\) such that \(a\) divides \(m\) and \(b\) divides \(m.\)

Example: Find the LCM of \(4\) and \(6.\)

Solution \(\downarrow\)

To find the least common multiple of \(4\) and \(6,\) write a few multiples of each.
Multiples of \(4\): \(4,\) \(8,\) \(12,\) \(16,\) \(20,\) \(24,\dots\)
Multiples of \(6\): \(6,\) \(12,\) \(18,\) \(24,\) \(30,\dots\)

If we compare both lists we can see that we have found two multiples in common, \(12\) and \(24.\) The LCM is \(12.\)

Find the LCM of these two numbers.

Previous
East Africa p.6 Math
Next

Comments

Log in to post a comment