Least Common Multiple

Competition between two frogs

I can jump 3 steps.

I can jump 2 steps.

Can they meet at any

step?

2 4 6 8 10 120 1 3 5 7 9 11

2, 4, 6, 8, 10, 12, ….

3, 6, 9, 12, ….

What do you observe from

these numbers?

What do you observe from

these numbers?

What is the relation

between these numbers?

What is the relation

between these numbers?

These are multiples of 2.

These are multiples of 3.

2 4 6 8 10 120 1 3 5 7 9 11

2, 4, 6, 8, 10, 12, ….

3, 6, 9, 12, ….

Which are the common

multiples of 2 and 3?

So, the common

multiples of 2 and 3 are 6, 12,

…

Which is least among the common

multiples of 2 and 3?

So, 6 is the least among the common

multiples of 2 and 3?

6 is the least common

multiple of 2 and 3.

How to find least common multiple ?

Find the multiples of the givens numbers,

Find the common multiples of these numbers,

Find the least among the common multiples, which is

the least common multiple of these given numbers.

What we learnt?What is a "Multiple" ?

The multiples of a number are what you get when you multiply it by other numbers. Just like the multiplication table.

What is a "Common Multiple" ?

When you list the multiples of two (or more) numbers, and find the same value in both lists, then that is a common multiple of those numbers.

What is the "Least Common Multiple" ?

It is simply the smallest of the common multiples..

Thank You

Arddhendu Shekhar Dash