Least Common Multiple of 7041 and 7047

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7041 and 7047 the smallest integer that is 16539309 that is divisible by both numbers.

Least Common Multiple (LCM) of 7041 and 7047 is 16539309.

LCM(7041,7047) = 16539309

LCM of 7041 and 7047

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7041 and 7047

LCM of 7041 and 7047 is 16539309

Least common multiple can be found by multiplying the highest exponent prime factors of 7041 and 7047. First we will calculate the prime factors of 7041 and 7047.

Prime Factorization of 7041


3 7041
2347 2347
1

Prime factors of 7041 are 3,2347. Prime factorization of 7041 in exponential form is:

7041 = 31×23471

Prime Factorization of 7047


3 7047
3 2349
3 783
3 261
3 87
29 29
1

Prime factors of 7047 are 3,29. Prime factorization of 7047 in exponential form is:

7047 = 35×291

Now multiplying the highest exponent prime factors to calculate the LCM of 7041 and 7047.

LCM(7041,7047) = 35×291×23471
LCM(7041,7047) = 16539309

Factors of 7041

List of positive integer factors of 7041 that divides 7041 without a remainder.

1, 3, 2347, 7041

Factors of 7047

List of positive integer factors of 7047 that divides 7047 without a remainder.

1, 3, 9, 27, 29, 81, 87, 243, 261, 783, 2349, 7047

Least Common Multiple of 7041 and 7047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7041 and 7047, than apply into the LCM equation.

GCF(7041,7047) = 3
LCM(7041,7047) = ( 7041 × 7047) / 3
LCM(7041,7047) = 49617927 / 3
LCM(7041,7047) = 16539309

Properties of LCM 7041 and 7047

(i) The LCM of 7047 and 7041 is associative

LCM of 7041 and 7047 = LCM of 7047 and 7041

Related Least Common Multiples of 7041

Related Least Common Multiples of 7047

Frequently Asked Questions on LCM of 7041 and 7047

1. What is the LCM of 7041 and 7047?

Answer: LCM of 7041 and 7047 is 16539309.

2. What are the Factors of 7041?

Answer: Factors of 7041 are 1, 3, 2347, 7041. There are 4 integers that are factors of 7041. The greatest factor of 7041 is 7041.

3. What are the Factors of 7047?

Answer: Factors of 7047 are 1, 3, 9, 27, 29, 81, 87, 243, 261, 783, 2349, 7047. There are 12 integers that are factors of 7047. The greatest factor of 7047 is 7047.

4. How to Find the LCM of 7041 and 7047?

Answer:

Least Common Multiple of 7041 and 7047 = 16539309

Step 1: Find the prime factorization of 7041

7041 = 3 x 2347

Step 2: Find the prime factorization of 7047

7047 = 3 x 3 x 3 x 3 x 3 x 29

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

LCM = 16539309 = 3 x 3 x 3 x 3 x 3 x 29 x 2347

Step 4: Therefore, the least common multiple of 7041 and 7047 is 16539309.