Given numbers are 3406,2174

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

The LCM of 3406,2174 is 3702322.

Find LCM of 3406,2174 with Prime Factorization

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

2 x 1703 x 1087 = 3702322

Therefore, the lowest common multiple of 3406,2174 is 3702322.

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.

3406 x 2174 = 7404644

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.

3406 : 1, 2, 13, 26, 131, 262, 1703, 3406

2174 : 1, 2, 1087, 2174

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3406,2174, is 2.

Now, the common factors can be found like this.

3406:2x 13x 131

2174:2x 1087

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 = 7404644/(2x1)

LCM = 7404644/2

LCM = 3702322

Thus, we can understand that the LCM of 3406,2174 is 3702322.

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

• LCM of 3493, 2618
• LCM of 1937, 3913
• LCM of 4305, 1827
• LCM of 6527, 3927
• LCM of 3389, 5640

1. What is the LCM of 3406, 2174?

Answer: LCM of 3406, 2174 is 3702322.

2. How to calculate the LCM of 3406, 2174?

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 3406, 2174.

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}.