Given numbers are 1695,1582

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

The LCM of 1695,1582 is 23730.

Find LCM of 1695,1582 with Prime Factorization

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

113 x 15 x 14 = 23730

Therefore, the lowest common multiple of 1695,1582 is 23730.

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.

1695 x 1582 = 2681490

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.

1695 : 1, 3, 5, 15, 113, 339, 565, 1695

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

113 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1695,1582, is 113.

Now, the common factors can be found like this.

1695:3x 5x 113

1582:2x 7x 113

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 = 2681490/(113x1)

LCM = 2681490/113

LCM = 23730

Thus, we can understand that the LCM of 1695,1582 is 23730.

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

• LCM of 7786, 7037
• LCM of 6473, 9782
• LCM of 2833, 9514
• LCM of 9710, 6844
• LCM of 9817, 3501

1. What is the LCM of 1695, 1582?

Answer: LCM of 1695, 1582 is 23730.

2. How to calculate the LCM of 1695, 1582?

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 1695, 1582.

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}.