Least Common Multiple
I can find the LCM of two whole
numbers less than or equal to 12.
Flashback
Warm Up
Write the first five
multiples of each number
1. 5
5, 10, 15, 20, 25
2. 6
6, 12, 18, 24, 30
3. 10 10, 20, 30, 40, 50
4. 12 12, 24, 36, 48, 60
Go to our class website.
Click on the link to
the
LCM Nearpod.
Put in the following
class code!
With your shoulder partner
Think about this-
,
English muffins come in packs of 8, and
eggs come in cartons of 12. If there
are 24 students, what is the least
number of packs and cartons needed
so that each student has a muffin
sandwich with one egg and there are no
muffins left over?
3 packs of English Muffins
2 cartoon of eggs
When we find the smallest
amount that both 8 and 12 go into
evenly, we are finding the LCM
The smallest number that is
a multiple of two or more
numbers is the
least common
multiple (LCM).
To find the LCM
1.  List the multiples of
each number
2. 
Find the smallest (least)
multiple that each number
shares
Example: Find the LCM of 8 and 12
Example: Find the LCM of 8 and 12
1. 
List the multiples of each number
8: 8, 16, 24, 32, 40, 48…
12: 12, 24, 36, 48…
2. Find the smallest (least) multiple that
each number shares
Example: Find the LCM of 8 and 3
Example: Find the LCM of 8 and 3
1. 
List the multiples of each number
8: 8, 16, 24, 32, 40, 48…
3: 3, 6, 9, 12, 18, 21, 24
2. Find the smallest (least) multiple that
each number shares
Example: Find the LCM of 5 and 10
Example: Find the LCM of 5 and 10
1. 
List the multiples of each number
5: 5, 10, 15, 20, 25, 30…
10: 10, 20, 30, 40, 50…
2. Find the smallest (least) multiple that
each number shares
Example: Find the LCM of 3 and 5
Example: Find the LCM of 3 and 5
1. 
List the multiples of each number
3: 3, 6, 9, 12, 15, 18, 24…
5: 5, 10, 15, 20, 25, 30…
2. Find the smallest (least) multiple that
each number shares
Example: Find the LCM of 6 and 5
Example: Find the LCM of 6 and 5
1. 
List the multiples of each number
6: 6, 12, 18, 24, 30, 36
5: 5, 10, 15, 20, 25, 30, 35, 40…
2. Find the smallest (least) multiple that
each number shares
Example: Find the LCM of 9 and 12
Example: Find the LCM of 9 and 12
1. 
List the multiples of each number
9: 9, 18, 27, 36, 45, 54, 63…
12: 12, 24, 36, 48…
2. Find the smallest (least) multiple that
each number shares
Example: Find the LCM of 3 and 4
Example: Find the LCM of 3 and 4
1. 
List the multiples of each number
3: 3, 6, 9, 12, 15, 18…
4: 4, 8, 12, 16, 20…
2. Find the smallest (least) multiple that
each number shares
Least Common Multiple
Kahoot
Exit Slip