Math 6H (Period 3)

 Least Common Multiple  2. 5 
A multiple of a number is the product of the number and any NON ZERO whole number. For example the multiples of 5 are 5, 10, 15, 20, 25,  and so on...
A common multiple for two or more numbers is a multiple shared byt he numbers. For example
20 is a common multiple of 2 and 5 because 20 = 2 times 10 and 20 = 5 times 4.

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
Common multiples of 2 and 3  ( that are < 25) are 6, 12, 18, and 24
and the smalles is the Least Common Multiple and that is 6
LCM(2, 3) = 6
What about the LCM (4, 6) = 12

You can use Prime Factorization to find the LCM
24 and 60
You can use Factor Trees or Inverted Division


LCM is EVERY FACTOR TO ITS GREATEST POWER.

You could list all the multiples but why not use that BOX we used when finding the GCF... it works for  finding the LCM of two numbers.



LCM ( 7, 11) =77
If the two numbers are relatively prime, then the LCM is their product.
Remember: the GCF of two relatively prime numbers is 1
LCM ( 8, 9) = 72   because we know the GCF(8,9) = 1