Given numbers are 1504,9541

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

The LCM of 1504,9541 is 305312.

Find LCM of 1504,9541 with Prime Factorization

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

47 x 32 x 203 = 305312

Therefore, the lowest common multiple of 1504,9541 is 305312.

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.

1504 x 9541 = 14349664

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.

1504 : 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504

9541 : 1, 7, 29, 47, 203, 329, 1363, 9541

47 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1504,9541, is 47.

Now, the common factors can be found like this.

1504:2x 2x 2x 2x 2x 47

9541:7x 29x 47

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 = 14349664/(47x1)

LCM = 14349664/47

LCM = 305312

Thus, we can understand that the LCM of 1504,9541 is 305312.

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

• LCM of 2433, 6653
• LCM of 6443, 8257
• LCM of 6225, 4485
• LCM of 1176, 6249
• LCM of 8373, 3972

1. What is the LCM of 1504, 9541?

Answer: LCM of 1504, 9541 is 305312.

2. How to calculate the LCM of 1504, 9541?

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 1504, 9541.

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}.