Given numbers are 2738,9509

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

The LCM of 2738,9509 is 703666.

Find LCM of 2738,9509 with Prime Factorization

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

37 x 74 x 257 = 703666

Therefore, the lowest common multiple of 2738,9509 is 703666.

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.

2738 x 9509 = 26035642

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.

2738 : 1, 2, 37, 74, 1369, 2738

9509 : 1, 37, 257, 9509

37 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2738,9509, is 37.

Now, the common factors can be found like this.

2738:2x 37x 37

9509:37x 257

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 = 26035642/(37x1)

LCM = 26035642/37

LCM = 703666

Thus, we can understand that the LCM of 2738,9509 is 703666.

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

• LCM of 4081, 6829
• LCM of 3089, 3887
• LCM of 5113, 1724
• LCM of 2853, 2122
• LCM of 1066, 1614

1. What is the LCM of 2738, 9509?

Answer: LCM of 2738, 9509 is 703666.

2. How to calculate the LCM of 2738, 9509?

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 2738, 9509.

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}.