Two examples to support the reasoning. The LCM of two numbers is the product of the two numbers

Question

Please help!!

I need to give two examples

The LCM of two numbers is the product of the two numbers

Answer 1

The Least Common Multiple of two numbers is the product of the two numbers only when they are relatively prime.

 

5, 21   LCM = 105

 

91, 11 LCM = 1001

 

if two numbers share a common factor, 8 and 10 share 2 as a common factor, the least common multiplier of 8 and 10 is 40.

Answer 2

This is not so if you consider 2 to be a multiple of 2...

 

The lowest common multiple of 2 and 4 is 4 because that is the

smallest number both will divide into.

 

Also, for example... the lowest common multiple of 4 and 8,

if one does not consider it to be 8, would be 16... not 32

4(4) = 16    8(2)=16 ....  4(8)=32

 

Lowest common multiple of 5 and 10 - if not 10 - is 20, not 50

5(4)=20   10(2)=20     5(10)=50

 

Answer 3

Hi Patricia

 

Here is 1 example:

Multiples of 3

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

 

Multiples of 4

4, 8, 12, 16, 20, 24, 28, ...

 

What is the lowest number that is a multiple of both 3 and 4?

Answer:  LCM of 3 and 4 = 12