Least Common Multiple of 7040 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 7040 and 7047 the smallest integer that is 49610880 that is divisible by both numbers.

Least Common Multiple (LCM) of 7040 and 7047 is 49610880.

LCM(7040,7047) = 49610880

LCM of 7040 and 7047

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

LCM of:
and

Least Common Multiple of 7040 and 7047

LCM of 7040 and 7047 is 49610880

Least common multiple can be found by multiplying the highest exponent prime factors of 7040 and 7047. First we will calculate the prime factors of 7040 and 7047.

Prime Factorization of 7040


2 7040
2 3520
2 1760
2 880
2 440
2 220
2 110
5 55
11 11
1

Prime factors of 7040 are 2, 5,11. Prime factorization of 7040 in exponential form is:

7040 = 27×51×111

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 7040 and 7047.

LCM(7040,7047) = 27×35×51×111×291
LCM(7040,7047) = 49610880

Factors of 7040

List of positive integer factors of 7040 that divides 7040 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040

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 7040 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 7040 and 7047, than apply into the LCM equation.

GCF(7040,7047) = 1
LCM(7040,7047) = ( 7040 × 7047) / 1
LCM(7040,7047) = 49610880 / 1
LCM(7040,7047) = 49610880

Properties of LCM 7040 and 7047

(i) The LCM of 7047 and 7040 is associative

LCM of 7040 and 7047 = LCM of 7047 and 7040

Related Least Common Multiples of 7040

Related Least Common Multiples of 7047

Frequently Asked Questions on LCM of 7040 and 7047

1. What is the LCM of 7040 and 7047?

Answer: LCM of 7040 and 7047 is 49610880.

2. What are the Factors of 7040?

Answer: Factors of 7040 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040. There are 32 integers that are factors of 7040. The greatest factor of 7040 is 7040.

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 7040 and 7047?

Answer:

Least Common Multiple of 7040 and 7047 = 49610880

Step 1: Find the prime factorization of 7040

7040 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11

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 = 49610880 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 11 x 29

Step 4: Therefore, the least common multiple of 7040 and 7047 is 49610880.