Given numbers are 6452,7314

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

The LCM of 6452,7314 is 23594964.

Find LCM of 6452,7314 with Prime Factorization

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

2 x 3226 x 3657 = 23594964

Therefore, the lowest common multiple of 6452,7314 is 23594964.

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.

6452 x 7314 = 47189928

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.

6452 : 1, 2, 4, 1613, 3226, 6452

7314 : 1, 2, 3, 6, 23, 46, 53, 69, 106, 138, 159, 318, 1219, 2438, 3657, 7314

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6452,7314, is 2.

Now, the common factors can be found like this.

6452:2x 2x 1613

7314:2x 3x 23x 53

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 = 47189928/(2x1)

LCM = 47189928/2

LCM = 23594964

Thus, we can understand that the LCM of 6452,7314 is 23594964.

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

• LCM of 9972, 1279
• LCM of 1185, 3183
• LCM of 7293, 8676
• LCM of 3701, 2207
• LCM of 1908, 7924

1. What is the LCM of 6452, 7314?

Answer: LCM of 6452, 7314 is 23594964.

2. How to calculate the LCM of 6452, 7314?

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 6452, 7314.

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}.