How do I solve what is the lcm of 6828 and 6869??

AskMathGuru provides a unique animated step-by-step solution for what is the lcm of 6828 and 6869?. Press Play to watch each step unfold visually — you can pause, replay, and learn at your own pace. The animation breaks the problem into individual steps so you understand the method, not just the answer.

Why use an animated solution for lcm problems?

Visual step-by-step animations help students understand the process behind the answer. Unlike static calculators that only show the result, our animated solutions show every calculation step, making it easier to learn and apply the same method to similar problems.

What is LCM of 6828, 6869 | Prime factorisation, common factor

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:

6828 = 2, 2, 3, 569

6869 = 6869

Identify the highest powers of all prime numbers that appear in the factorization: $2^2 × 3^1 × 569^1 × 6869^1$
To find LCM multiply these highest powers: LCM(6828, 6869) = $2^2 × 3^1 × 569^1 × 6869^1$ = 46901532

Watch the Animated Step-by-Step Solution

Unlike static calculators, this animation walks you through every single step of solving this problem. Press Play to watch the solution unfold — pause, replay, and learn at your own pace.

This interactive animation shows the step-by-step solution for what is the lcm of 6828 and 6869?. Enable JavaScript to play the animated walkthrough, or read the written steps above for the complete solution.

Each step is animated so you can see exactly how the solution is built — from writing the problem down to arriving at the final answer. This is not just an answer — it's a complete visual explanation.

Need support for a different topic? Write to us

Was this helpful?

Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 6828 and 6869 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 6828

6828, 13656, 20484, 27312, 34140, 40968, 47796, 54624, 61452, 68280,…

Multiples of 6869

6869, 13738, 20607, 27476, 34345, 41214, 48083, 54952, 61821, 68690,…

Common multiples

Identify the common multiples from the lists above: 46901532, 93803064,…

The smallest common multiple is 46901532.

The LCM of 6828 and 6869 using the common multiples method is 46901532.

Review Sub Calculations

Time for More Practice

Summary

What is the LCM of 6828 and 6869? The answer is 46901532. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

This page provided a complete animated walkthrough for what is the lcm of 6828 and 6869?. Every step was visualized so you can understand not just the answer, but the method behind it. Use the animation above to replay and study each step at your own pace.

📤 Share this solution

Explore Other Topics

Discover related mathematical topics and practice problems to expand your understanding. Each topic includes carefully selected examples to help you master the subject.

What is the LCM of 6828 and 6869?

Answer: The LCM of 6828 and 6869 is 46901532

Prime Factorization Method

Watch the Animated Step-by-Step Solution

Listing All Common Factors Method

Review Sub Calculations

Time for More Practice

Summary

Explore Other Topics

GCF

Multiples

Fractions

Divide By

Addition

Exponents