Prime Factorization Method
There are multiple ways to find the least common multiple of given integers. In this method, we find the prime factors of each number, and then take the highest power of each prime that appears in the factorization of either number for find LCM.
- Find the prime factorization of each number:
721 = 7, 103
32 = 2, 2, 2, 2, 2
- Identify the highest powers of all prime numbers that appear in the factorization:
- To find LCM multiply these highest powers: LCM(721, 32) = = 23072
🎬Watch the Step-by-Step Animated Solution
Watch the process of finding the least common multiple of 721 and 32. Our animation shows multiple approaches, including listing multiples and using prime factorization, making it easy to understand this fundamental concept through visual demonstration.
What You'll Learn:
- Calculate the least common multiple of 721 and 32
- Learn different strategies: listing multiples and using prime factorization
- Understand the relationship between LCM and GCF
📖 Why This Specific Problem Matters
This animated solution addresses a critical gap in mathematics education: while teachers can demonstrate a few examples in class, students often struggle when practicing problems with different numbers at home. Our step-by-step animation for 721 lcm 32 provides instant, visual support for this EXACT problem - not just similar ones. This specificity is crucial for building confidence and understanding, especially for visual learners who need to see the process, not just read about it.
Step-by-step breakdown: Our animation breaks down 721 lcm 32 into clear, sequential steps that build understanding from foundation to solution.
Listing All Common Factors Method
To find the Least Common Multiple (LCM) of 721 and 32 using the method of listing common multiples, follow these steps:
- List some multiples of each number.
- Identify the smallest multiple that is common to both lists.
- Multiples of 721
721, 1442, 2163, 2884, 3605, 4326, 5047, 5768, 6489, 7210,…
- Multiples of 32
32, 64, 96, 128, 160, 192, 224, 256, 288, 320,…
- Common multiples
Identify the common multiples from the lists above: 23072, 46144,…
The smallest common multiple is 23072.
The LCM of 721 and 32 using the common multiples method is 23072.
Review Sub Calculations
Time for More Practice
Learn More About This Problem
🌍 Real-World Example
Real-world example for 721 lcm 32
Teaching Tip
💡 Teaching tip: Practice this lcm problem with objects around you to understand it better!
🔗 Related Concept
Explore related lcm problems to build mastery!
Explore Other Topics
Discover related mathematical topic and practice problems to expand your understanding. Each topic includes carefully selected examples to help you master the subject.