Given numbers are 6714,3602

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

The LCM of 6714,3602 is 12091914.

Find LCM of 6714,3602 with Prime Factorization

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

2 x 3357 x 1801 = 12091914

Therefore, the lowest common multiple of 6714,3602 is 12091914.

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.

6714 x 3602 = 24183828

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.

6714 : 1, 2, 3, 6, 9, 18, 373, 746, 1119, 2238, 3357, 6714

3602 : 1, 2, 1801, 3602

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6714,3602, is 2.

Now, the common factors can be found like this.

6714:2x 3x 3x 373

3602:2x 1801

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 = 24183828/(2x1)

LCM = 24183828/2

LCM = 12091914

Thus, we can understand that the LCM of 6714,3602 is 12091914.

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

• LCM of 6779, 2830
• LCM of 7511, 6168
• LCM of 6069, 4386
• LCM of 1588, 5115
• LCM of 3025, 3885

1. What is the LCM of 6714, 3602?

Answer: LCM of 6714, 3602 is 12091914.

2. How to calculate the LCM of 6714, 3602?

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 6714, 3602.

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}.