Given numbers are 6342,5314

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

The LCM of 6342,5314 is 16850694.

Find LCM of 6342,5314 with Prime Factorization

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

2 x 3171 x 2657 = 16850694

Therefore, the lowest common multiple of 6342,5314 is 16850694.

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.

6342 x 5314 = 33701388

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.

6342 : 1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342

5314 : 1, 2, 2657, 5314

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6342,5314, is 2.

Now, the common factors can be found like this.

6342:2x 3x 7x 151

5314:2x 2657

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 = 33701388/(2x1)

LCM = 33701388/2

LCM = 16850694

Thus, we can understand that the LCM of 6342,5314 is 16850694.

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

• LCM of 2743, 9121
• LCM of 9834, 3890
• LCM of 6565, 7164
• LCM of 1403, 2747
• LCM of 2791, 4881

1. What is the LCM of 6342, 5314?

Answer: LCM of 6342, 5314 is 16850694.

2. How to calculate the LCM of 6342, 5314?

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 6342, 5314.

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}.