Given numbers are 5389,6749

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

The LCM of 5389,6749 is 2139433.

Find LCM of 5389,6749 with Prime Factorization

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

17 x 317 x 397 = 2139433

Therefore, the lowest common multiple of 5389,6749 is 2139433.

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.

5389 x 6749 = 36370361

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.

5389 : 1, 17, 317, 5389

6749 : 1, 17, 397, 6749

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5389,6749, is 17.

Now, the common factors can be found like this.

5389:17x 317

6749:17x 397

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 = 36370361/(17x1)

LCM = 36370361/17

LCM = 2139433

Thus, we can understand that the LCM of 5389,6749 is 2139433.

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

• LCM of 8295, 1127
• LCM of 9462, 7309
• LCM of 5078, 5581
• LCM of 9496, 4239
• LCM of 5598, 2289

1. What is the LCM of 5389, 6749?

Answer: LCM of 5389, 6749 is 2139433.

2. How to calculate the LCM of 5389, 6749?

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 5389, 6749.

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}.