Given numbers are 2258,7974

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

The LCM of 2258,7974 is 9002646.

Find LCM of 2258,7974 with Prime Factorization

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

2 x 1129 x 3987 = 9002646

Therefore, the lowest common multiple of 2258,7974 is 9002646.

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.

2258 x 7974 = 18005292

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.

2258 : 1, 2, 1129, 2258

7974 : 1, 2, 3, 6, 9, 18, 443, 886, 1329, 2658, 3987, 7974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2258,7974, is 2.

Now, the common factors can be found like this.

2258:2x 1129

7974:2x 3x 3x 443

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 = 18005292/(2x1)

LCM = 18005292/2

LCM = 9002646

Thus, we can understand that the LCM of 2258,7974 is 9002646.

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

• LCM of 1442, 4408
• LCM of 4479, 1309
• LCM of 5536, 6982
• LCM of 2396, 5347
• LCM of 8582, 8723

1. What is the LCM of 2258, 7974?

Answer: LCM of 2258, 7974 is 9002646.

2. How to calculate the LCM of 2258, 7974?

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 2258, 7974.

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}.