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LCM of 5662, 6042

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 5662, 6042 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 5662, 6042. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5662,6042

Given numbers are 5662,6042

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

The LCM of 5662,6042 is 900258.

Find LCM of 5662,6042 with Prime Factorization


2 5662, 6042
19 2831, 3021
149, 159

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

2 x 19 x 149 x 159 = 900258

Therefore, the lowest common multiple of 5662,6042 is 900258.

LCM Formula to Find Lowest Common Multiple of 5662,6042

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.

5662 x 6042 = 34209804

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.

5662 : 1, 2, 19, 38, 149, 298, 2831, 5662

6042 : 1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042

38 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5662,6042, is 38.

Now, the common factors can be found like this.

5662:2x 19x 149

6042:2x 3x 19x 53

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 = 34209804/(38x1)

LCM = 34209804/38

LCM = 900258

Thus, we can understand that the LCM of 5662,6042 is 900258.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5662, 6042

1. What is the LCM of 5662, 6042?

Answer: LCM of 5662, 6042 is 900258.

2. How to calculate the LCM of 5662, 6042?

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 5662, 6042.

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}.