Given numbers are 5343,6828

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 5343,6828 is 12160668.

Find LCM of 5343,6828 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

3 x 1781 x 2276 = 12160668

Therefore, the lowest common multiple of 5343,6828 is 12160668.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

5343 x 6828 = 36482004

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

5343 : 1, 3, 13, 39, 137, 411, 1781, 5343

6828 : 1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5343,6828, is 3.

Now, the common factors can be found like this.

5343:3x 13x 137

6828:2x 2x 3x 569

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

= 1

Therefore, the value for common factors is 1.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 36482004/(3x1)

LCM = 36482004/3

LCM = 12160668

Thus, we can understand that the LCM of 5343,6828 is 12160668.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 9750, 1840
• LCM of 8155, 4887
• LCM of 4287, 3034
• LCM of 6170, 8306
• LCM of 6556, 3308

1. What is the LCM of 5343, 6828?

Answer: LCM of 5343, 6828 is 12160668.

2. How to calculate the LCM of 5343, 6828?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 5343, 6828.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.