# What is the least common multiple of 6 and 9?

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The least common multiple (LCM) of 6 and 9 is 18.

In math and number hypothesis, the least regular various, most minimal basic numerous, or littlest normal different of two whole numbers a and b, as a rule indicated by LCM (a, b), is the littlest positive whole number that is distinguishable by both an and b. Since division of numbers by zero is vague, this definition has meaning just if an and b are both unique in relation to zero. However, a few creators characterize LCM (a,0) as 0 for each of the a, which is the aftereffect of taking the LCM to be the least upper bound in the grid of distinctness.

The LCM is the "most reduced shared element" (LCD) that can be utilized before divisions can be included, subtracted or thought about. The LCM of multiple whole numbers is additionally well-characterized: it is the littlest positive whole number that is distinct by every one of them.

A different of a number is the result of that number and a whole number. For instance, 10 is a different of 5 since 5 × 2 = 10, so 10 is distinguishable by 5 and 2. Since 10 is the littlest positive whole number that is distinct by both 5 and 2, it is the least basic numerous of 5 and 2. By a similar rule, 10 is the least regular various of −5 and −2 too.

The LCM is the littlest regular various of at least two numbers. For instance, the LCM of 2 and 5 is 10. The least basic factor is the littlest regular factor of at least two numbers. The littlest factor of each number is 1.

Example1:

What is the Least Common Multiple?

The multiples for 12 are 12, 24, 36, 48, 60, 72, 84, 96, etc. The multiples for 16 are 16, 32, 48, 64, 80, etc.

Example2:

What is the Least Common Multiple of 4 and 6?

Multiples of 4 are:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, ...

and the multiples of 6 are:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, ...

Common multiples of 4 and 6 are simply the numbers that are in both lists:

12, 24, 36, 48, 60, 72, ....

So, from this list of the first few common multiples of the numbers 4 and 6, their least common multiple is 12.

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