LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 7029 and 7034

Created By : Bhagya
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


It is easy to find the LCM of 7029 and 7034 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 49441986 as output. Here you can check the answer for Find the LCM of 7029 and 7034.

 

LCM of:
and

What is LCM of 7029 and 7034

Given Numbers are 7029, 7034

We can find the LCM of 7029, 7034 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7029 and 7034

Multiples of 7029 =7029,14058,21087,28116,35145,42174,49203,56232,63261,70290,77319,84348,91377,98406,105435,112464,119493,

Multiples of 7034 =7034,14068,21102,28136,35170,42204,49238,56272,63306,70340,77374,84408,91442,98476,105510,112544,119578,

Now, get the least common multiple of 7029, 7034 which is 49441986

So, the LCM of 7029, 7034 is 49441986.

Least Common Multiple (LCM) of 7029 and 7034 with the help of Prime Factorisation

One method for determining the LCM of 7029 and 7034 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 7029's prime factorization:


3 7029
3 2343
11 781
71 71
1

Prime factors of 7029 are 3, 11,71.

7029 = 32×111×711

And this is 7034's prime factorization:


2 7034
3517 3517
1

Prime factors of 7034 are 2,3517.

7034 = 21×35171

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: 3, 11,71, 2,3517

.

21×32×111×711×35171 = 49441986

This shows that the LCM of 7029 and 7034 is 49441986.

How to Calculate the LCM of 7029 and 7034 Using Common Multiples

The first step in determining the Least Common Multiple of 7029 and 7034 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7029 and 7034:

Lets look at the first ten multiples of these numbers, 7029 and 7034:

7029,14058,21087,28116,35145,42174,49203,56232,63261,119493 are the first ten multiples of 7029.

7034,14068,21102,28136,35170,42204,49238,56272,63306,119578 are the first ten multiples of 7034.

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 7029 and 7034, for example, are 84348, 119493, and 112544. 49441986 is the least common multiple since it is the smallest.

7029 and 7034 have an LCM of 49441986.

Least Common Multiple of 7029 and 7034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7029 and 7034, than apply into the LCM equation.

GCF(7029,7034) = 1
LCM(7029,7034) = ( 7029 × 7034) / 1
LCM(7029,7034) = 49441986 / 1
LCM(7029,7034) = 49441986

Frequently Asked Questions on LCM of 7029 and 7034

1. What is the LCM of 7029 and 7034?

The LCM of 7029 and 7034 is 49441986.

2. How to find the lowest common multiple of 7029 and 7034?

To find the lowest common multiple of 7029 and 7034, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49441986.

3. What are the Factors of 7029?

Answer: Factors of 7029 are 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029. There are 12 integers that are factors of 7029. The greatest factor of 7029 is 7029.

4. What are the Factors of 7034?

Answer: Factors of 7034 are 1, 2, 3517, 7034. There are 4 integers that are factors of 7034. The greatest factor of 7034 is 7034.

5. How to Find the LCM of 7029 and 7034?

Answer:

Least Common Multiple of 7029 and 7034 = 49441986

Step 1: Find the prime factorization of 7029

7029 = 3 x 3 x 11 x 71

Step 2: Find the prime factorization of 7034

7034 = 2 x 3517

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

LCM = 49441986 = 2 x 3 x 3 x 11 x 71 x 3517

Step 4: Therefore, the least common multiple of 7029 and 7034 is 49441986.