Table Of Contents

LCM of 18 and 32 using Division method:

LCM of 18 and 32 using Listing multiples:

LCM of 18 and 32 using Prime factorization:

Common Mistakes and How to Avoid Them in LCM of 18 and 32

LCM of 18 and 32 Examples

FAQs on LCM of 18 and 32

Important glossaries on the LCM of 18 and 32

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Last updated on May 26th, 2025

LCM of 18 and 32

Q: What are the expanded factors of 108?

The factors of 108 are 2×2×3×3x3.

Q: What is the prime factor tree for 200?

The prime factor trees for 200 are 2 and 5.

Q: Which number is not a factor of 32?

Any number that is not 1,2,4,8,16 or 32 will not be a factor of 32.

Q: Is 1 considered as the GCF?

If the HCF of any two numbers is 1 that means there is no common factor of that number except 1.

Q: What is a relatively prime number?

When a number doesn't have any common factor other than one.

Q: How can children in Canada use numbers in everyday life to understand LCM of 18 and 32?

Numbers appear everywhere—from counting money to measuring ingredients. Kids in Canada see how LCM of 18 and 32 helps solve real problems, making numbers meaningful beyond the classroom.

Q: What are some fun ways kids in Canada can practice LCM of 18 and 32 with numbers?

Games like board games, sports scoring, or even cooking help children in Canada use numbers naturally. These activities make practicing LCM of 18 and 32 enjoyable and connected to their world.

Q: What role do numbers and LCM of 18 and 32 play in helping children in Canada develop problem-solving skills?

Working with numbers through LCM of 18 and 32 sharpens reasoning and critical thinking, preparing kids in Canada for challenges inside and outside the classroom.

Q: How can families in Canada create number-rich environments to improve LCM of 18 and 32 skills?

Families can include counting chores, measuring recipes, or budgeting allowances, helping children connect numbers and LCM of 18 and 32 with everyday activities.

Professor Greenline Explaining Math Concepts

The meaning of least common factor (LCM) is to find the smallest number that divides any two integers evenly. LCM is used mainly in fractions to find a common number for both the integers. We use LCM for solving problems, lining up cycles or even synchronizing of events, also to schedule tasks in everyday life.

LCM of 18 and 32 for Canadian Students

What is the LCM of 18 and 32?

We use LCM of 18 and 32 to find the smallest number that divides both the numbers equally. The smallest positive number is the number that divides both numbers equally, is 288 without leaving any remainder. LCM is used mainly in fractions to find a common number for both the integers.

How to find the LCM of 18 and 32?

The LCM of 18 and 32 can be found by the following methods like division method, listing multiples, prime factorization.

LCM of 18 and 32 using Division method:

In division method, we divide both the numbers, we begin with dividing side by side the smallest number. We continue dividing until we get a common number that divides both the numbers equally. It makes it easier for the children to focus on prime factors and identify them.

2 divides 18 and 32

2 divides 9 and 16

2 divides 8 and not 9

2 divides 4 and not 9

2 divides 2, and not 9

3 divides 9

3 decides 3.

Now multiply the divisors : 2×2×2×2×3×3=288 which is the LCM.

LCM of 18 and 32 using Listing multiples:

Step 1: Start by listing multiples of both the numbers separately:

Multiples of 18 are 18,36,54,72,90,108,126,144,162,180,198,216,234,252,270,288…..

Multiples of 32 are 32,64,96,128,160,192,224,256,288…..

Step 2: The least common factor from the list is 288. Therefore, the LCM of 18 and 32 is 288.

LCM of 18 and 32 using Prime factorization:

Step 1: We part both the numbers unto factors:

Factor of 18: 2×3²

Factors of 32: 2⁵

Step 2:Take the powers of both the numbers and multiply together:

LCM= 25 × 32 =288.

Common Mistakes and How to Avoid Them in LCM of 18 and 32

While solving problems based on the LCM of 18 and 32, children fail to understand few concepts, to give an idea of the mistakes, given below are a few mistakes and solutions of how to avoid them:

Mistake 1

Stopping the division method way too soon.

Students sometimes stop dividing very soon, when they are not able to divide both the numbers with the same number. For example, we can divide14 by 2, but 15 isn't divisible by 2. To continue the dividing method until all the factors are found. The students should continue dividing until they find the common number that divides both the integers.

Mistake 2

Getting confused in writing the correct order of the steps

Students sometimes mix the steps mistakenly, like instead of starting to divide with a smaller number, they begin with a larger number. Which leads to improper solutions. To avoid this, the students should practice dividing numbers correctly.

Mistake 3

Not writing the prime numbers in the main calculations.

Students only consider the smallest degrees of the number, they do not write all the factors while finding the LCM. They. To avoid this, students should practice division properly.

LCM of 18 and 32 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Find the LCM of 18 and 32 using prime Factorization.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

LCM(18,32) = 288

Explanation

18= 2 × 3²

32=2⁵

LCM= 2⁵ × 3² = 32 × 9=288.

Max from BrightChamps Praising Clear Math Explanations

Problem 2

Find the missing number if LCM(18,X)=144 and X<32.

LCM(18,X)

= 24 × 32

=144

X=16.

Explanation

missing number is 16.

Problem 3

Find the smallest number that, when multiplied by 18, gives an LCM with 32 of 288.

the smallest number is 9.

Explanation

32=2⁵, and 288=2⁵×3².

The missing factor is 9, so the smallest number is 9.

Problem 4

Given LCM(a,32) = 288 and a= 18, verify the formula LCM(a, b)×GCD(a, b)=a × b.

288 × 2 = 18 × 32 =576.

Verified.

Explanation

both sides are equal. hence verified.

Problem 5

Simplify the fraction 144/LCM (18,32)

LCM(18,32)=288

144/288= 1/2.

Explanation

we already know the LCM(18,32)=288

FAQs on LCM of 18 and 32

1.What are the expanded factors of 108?

2. What is the prime factor tree for 200?

3.Which number is not a factor of 32?

4.Is 1 considered as the GCF?

5.What is a relatively prime number?

6.How can children in Canada use numbers in everyday life to understand LCM of 18 and 32?

7.What are some fun ways kids in Canada can practice LCM of 18 and 32 with numbers?

8.What role do numbers and LCM of 18 and 32 play in helping children in Canada develop problem-solving skills?

9.How can families in Canada create number-rich environments to improve LCM of 18 and 32 skills?

Important glossaries on the LCM of 18 and 32

Prime Factor: A natural number or whole number which has factors that are 1 and itself. For Example, 3 is a prime number.

Prime Factorization: The process of breaking down a number into its prime factors is called Prime Factorization. For example, the factorization of 14 is 2×7.

Co-prime numbers: numbers which have the only positive divisor of them both as 1. For example, 6 and 7.

About BrightChamps inCanada

At BrightCHAMPS, numbers are more than just symbols they’re keys to unlocking countless opportunities! Our mission is to help kids across Canada develop essential math skills, focusing today on the LCM of 18 and 32 with an emphasis on understanding the LCM in a way that’s engaging, fun, and easy to follow. Whether your child is figuring out the speed of a roller coaster at Canada’s Wonderland, keeping track of hockey game scores, or saving allowance for new gadgets, mastering numbers gives them the confidence they need for daily life. Our hands-on lessons keep learning enjoyable and simple. Because children in Canada learn in many ways, we personalize our approach for every learner. From the energetic streets of Toronto to the breathtaking views of British Columbia, BrightCHAMPS brings math to life, making it relevant and exciting throughout Canada. Let’s make learning the LCM a fun experience for all!

Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.