Given numbers are 1582,1729

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

The LCM of 1582,1729 is 390754.

Find LCM of 1582,1729 with Prime Factorization

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

7 x 226 x 247 = 390754

Therefore, the lowest common multiple of 1582,1729 is 390754.

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.

1582 x 1729 = 2735278

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.

1582 : 1, 2, 7, 14, 113, 226, 791, 1582

1729 : 1, 7, 13, 19, 91, 133, 247, 1729

7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1582,1729, is 7.

Now, the common factors can be found like this.

1582:2x 7x 113

1729:7x 13x 19

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 = 2735278/(7x1)

LCM = 2735278/7

LCM = 390754

Thus, we can understand that the LCM of 1582,1729 is 390754.

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

• LCM of 7729, 8828
• LCM of 6093, 1062
• LCM of 5383, 2475
• LCM of 6147, 8480
• LCM of 5308, 5472

1. What is the LCM of 1582, 1729?

Answer: LCM of 1582, 1729 is 390754.

2. How to calculate the LCM of 1582, 1729?

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 1582, 1729.

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}.