Given numbers are 1426,3642

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

The LCM of 1426,3642 is 2596746.

Find LCM of 1426,3642 with Prime Factorization

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

2 x 713 x 1821 = 2596746

Therefore, the lowest common multiple of 1426,3642 is 2596746.

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.

1426 x 3642 = 5193492

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.

1426 : 1, 2, 23, 31, 46, 62, 713, 1426

3642 : 1, 2, 3, 6, 607, 1214, 1821, 3642

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1426,3642, is 2.

Now, the common factors can be found like this.

1426:2x 23x 31

3642:2x 3x 607

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 = 5193492/(2x1)

LCM = 5193492/2

LCM = 2596746

Thus, we can understand that the LCM of 1426,3642 is 2596746.

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

• LCM of 4972, 9096
• LCM of 3262, 5236
• LCM of 2149, 4634
• LCM of 9437, 9206
• LCM of 2074, 4000

1. What is the LCM of 1426, 3642?

Answer: LCM of 1426, 3642 is 2596746.

2. How to calculate the LCM of 1426, 3642?

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 1426, 3642.

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}.