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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
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