Given numbers are 6724,7002

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

The LCM of 6724,7002 is 23540724.

Find LCM of 6724,7002 with Prime Factorization

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

2 x 3362 x 3501 = 23540724

Therefore, the lowest common multiple of 6724,7002 is 23540724.

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.

6724 x 7002 = 47081448

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.

6724 : 1, 2, 4, 41, 82, 164, 1681, 3362, 6724

7002 : 1, 2, 3, 6, 9, 18, 389, 778, 1167, 2334, 3501, 7002

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6724,7002, is 2.

Now, the common factors can be found like this.

6724:2x 2x 41x 41

7002:2x 3x 3x 389

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 = 47081448/(2x1)

LCM = 47081448/2

LCM = 23540724

Thus, we can understand that the LCM of 6724,7002 is 23540724.

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

• LCM of 9787, 4448
• LCM of 4743, 1252
• LCM of 7284, 1035
• LCM of 2597, 2334
• LCM of 1218, 4984

1. What is the LCM of 6724, 7002?

Answer: LCM of 6724, 7002 is 23540724.

2. How to calculate the LCM of 6724, 7002?

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 6724, 7002.

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}.