INTRO

—

A multiple of a given number is what you get when you multiply the given number by another number.

We can use the LCM to find a common denominator when adding and subtracting fractions. The LCM of the denominators is the least common denominator.Check out our or explore our and sections to learn more about how to find the least common multiple and test your understanding.

Since there is an infinite amount of numbers you can multiply by, there is an infinite amount of multiples for any number. The list goes on and on like magic .

For example, let’s take a look at multiples of $3$:

Multiples of $3$ |

The

__L__east__C__ommon__M__ultiple (LCM) is the smallest multiple two or more numbers have in common.Multiples of $3$ | $3,6,9,12,15,...$ |

Multiples of $4$ | $4,8,12,16,20,...$ |

When we organize the factors from least to greatest, we can easily see that the LCM of $3$ and $4$ is $12$.

### Least Common Denominator

$32 $$+$$41 $$=$$?$$128 $$+$$123 $$=$$1211 $

Calculator

Lesson

Practice

You can also use the Quick Links menu on the left to jump to a section of your choice.

You can also use the Quick Links dropdown above to jump to a section of your choice.

CALCULATOR

—

## LCM Calculator

KEY STEPS

—

## How to Find the LCM

### Step 1. Remember what a multiple is.

A multiple is the product of a number with any other number.

### Step 2. Find the first multiple of each number.

We start by multiplying each number by $1$.

### Step 3. Find the next multiple of each number.

Multiply each number by the next integer.

### Step 4. Check for the least common multiple.

Look for a multiple that shows up for both numbers. If you don't see one, repeat Step 3. If you do see one, stop 🛑. This is the least common multiple.

LESSON

— Finding the LCM

## Finding the LCM

A multiple of a given number is what you get when you multiply the given number by another number.$given number×number=multiple$When we have two or more given numbers, we can compare their multiples to see which ones they have in common.

The smallest multiple they share is called the

__L__east__C__ommon__M__ultiple (LCM).### What is the difference between GCF and LCM?

Greatest Common Factor (GCF) | Least Common Multiple (LCM) |

Largest factor two or more numbers have in common. | Smallest multiple two or more numbers have in common. |

Example: GCF of $6$ and $9$ is $3$. Factors of $6$: $1,2,3,6$ Factors of $9$: $1,3,9$ | Example: LCM of $6$ and $9$ is $9$. Multiples of $6$: $6,12,18,24,...$ Multiples of $9$: $9,18,27,36,...$ |

### How to find the LCM using the GCF

PRACTICE

— Finding the LCM

## Practice: Finding the LCM

Question 1 of 10: Find the LCM of 9 and 12.

### Step 1. Remember what a multiple is.

A multiple is

CONCLUSION

—

Incredible job, look at you go! Thanks for checking out this lesson ☺️🙏. Where to next?