Least Common Multiple of 7047 and 7053

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7047 and 7053 the smallest integer that is 16567497 that is divisible by both numbers.

Least Common Multiple (LCM) of 7047 and 7053 is 16567497.

LCM(7047,7053) = 16567497

LCM of 7047 and 7053

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

LCM of:
and

Least Common Multiple of 7047 and 7053

LCM of 7047 and 7053 is 16567497

Least common multiple can be found by multiplying the highest exponent prime factors of 7047 and 7053. First we will calculate the prime factors of 7047 and 7053.

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

Prime Factorization of 7053


3 7053
2351 2351
1

Prime factors of 7053 are 3,2351. Prime factorization of 7053 in exponential form is:

7053 = 31×23511

Now multiplying the highest exponent prime factors to calculate the LCM of 7047 and 7053.

LCM(7047,7053) = 35×291×23511
LCM(7047,7053) = 16567497

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

Factors of 7053

List of positive integer factors of 7053 that divides 7053 without a remainder.

1, 3, 2351, 7053

Least Common Multiple of 7047 and 7053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7047 and 7053, than apply into the LCM equation.

GCF(7047,7053) = 3
LCM(7047,7053) = ( 7047 × 7053) / 3
LCM(7047,7053) = 49702491 / 3
LCM(7047,7053) = 16567497

Properties of LCM 7047 and 7053

(i) The LCM of 7053 and 7047 is associative

LCM of 7047 and 7053 = LCM of 7053 and 7047

Related Least Common Multiples of 7047

Related Least Common Multiples of 7053

Frequently Asked Questions on LCM of 7047 and 7053

1. What is the LCM of 7047 and 7053?

Answer: LCM of 7047 and 7053 is 16567497.

2. 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.

3. What are the Factors of 7053?

Answer: Factors of 7053 are 1, 3, 2351, 7053. There are 4 integers that are factors of 7053. The greatest factor of 7053 is 7053.

4. How to Find the LCM of 7047 and 7053?

Answer:

Least Common Multiple of 7047 and 7053 = 16567497

Step 1: Find the prime factorization of 7047

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

Step 2: Find the prime factorization of 7053

7053 = 3 x 2351

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

LCM = 16567497 = 3 x 3 x 3 x 3 x 3 x 29 x 2351

Step 4: Therefore, the least common multiple of 7047 and 7053 is 16567497.