Given Numbers are 7021, 7026

We can find the LCM of 7021, 7026 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7021 and 7026

Multiples of 7021 =7021,14042,21063,28084,35105,42126,49147,56168,63189,70210,77231,84252,91273,98294,105315,112336,119357,

Multiples of 7026 =7026,14052,21078,28104,35130,42156,49182,56208,63234,70260,77286,84312,91338,98364,105390,112416,119442,

Now, get the least common multiple of 7021, 7026 which is 49329546

So, the LCM of 7021, 7026 is 49329546.

One method for determining the LCM of 7021 and 7026 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 7021's prime factorization:

Prime factors of 7021 are 7, 17,59.

7021 = 7¹×17¹×59¹

And this is 7026's prime factorization:

Prime factors of 7026 are 2, 3,1171.

7026 = 2¹×3¹×1171¹

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 7, 17,59, 2, 3,1171

2¹×3¹×7¹×17¹×59¹×1171¹ = 49329546

This shows that the LCM of 7021 and 7026 is 49329546.

The first step in determining the Least Common Multiple of 7021 and 7026 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7021 and 7026:

Lets look at the first ten multiples of these numbers, 7021 and 7026:

7021,14042,21063,28084,35105,42126,49147,56168,63189,119357 are the first ten multiples of 7021.

7026,14052,21078,28104,35130,42156,49182,56208,63234,119442 are the first ten multiples of 7026.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 7021 and 7026, for example, are 84252, 119357, and 112416. 49329546 is the least common multiple since it is the smallest.

7021 and 7026 have an LCM of 49329546.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7021 and 7026, than apply into the LCM equation.

GCF(7021,7026) = 1
LCM(7021,7026) = ( 7021 × 7026) / 1
LCM(7021,7026) = 49329546 / 1
LCM(7021,7026) = 49329546

1. What is the LCM of 7021 and 7026?

The LCM of 7021 and 7026 is 49329546.

2. How to find the lowest common multiple of 7021 and 7026?

To find the lowest common multiple of 7021 and 7026, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49329546.

3. What are the Factors of 7021?

Answer: Factors of 7021 are 1, 7, 17, 59, 119, 413, 1003, 7021. There are 8 integers that are factors of 7021. The greatest factor of 7021 is 7021.

4. What are the Factors of 7026?

Answer: Factors of 7026 are 1, 2, 3, 6, 1171, 2342, 3513, 7026. There are 8 integers that are factors of 7026. The greatest factor of 7026 is 7026.

Answer:

Least Common Multiple of 7021 and 7026 = 49329546

Step 1: Find the prime factorization of 7021

7021 = 7 x 17 x 59

Step 2: Find the prime factorization of 7026

7026 = 2 x 3 x 1171

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 49329546 = 2 x 3 x 7 x 17 x 59 x 1171

Step 4: Therefore, the least common multiple of 7021 and 7026 is 49329546.