Given numbers are 1467,1509

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

The LCM of 1467,1509 is 737901.

Find LCM of 1467,1509 with Prime Factorization

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

3 x 489 x 503 = 737901

Therefore, the lowest common multiple of 1467,1509 is 737901.

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.

1467 x 1509 = 2213703

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.

1467 : 1, 3, 9, 163, 489, 1467

1509 : 1, 3, 503, 1509

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1467,1509, is 3.

Now, the common factors can be found like this.

1467:3x 3x 163

1509:3x 503

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 = 2213703/(3x1)

LCM = 2213703/3

LCM = 737901

Thus, we can understand that the LCM of 1467,1509 is 737901.

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

• LCM of 4361, 9108
• LCM of 4045, 9696
• LCM of 2826, 3204
• LCM of 3671, 3198
• LCM of 2939, 4104

1. What is the LCM of 1467, 1509?

Answer: LCM of 1467, 1509 is 737901.

2. How to calculate the LCM of 1467, 1509?

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 1467, 1509.

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}.