Least Common Multiple of 7045 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 7045 and 7047 the smallest integer that is 49646115 that is divisible by both numbers.

Least Common Multiple (LCM) of 7045 and 7047 is 49646115.

LCM(7045,7047) = 49646115

LCM of 7045 and 7047

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

LCM of:
and

Least Common Multiple of 7045 and 7047

LCM of 7045 and 7047 is 49646115

Least common multiple can be found by multiplying the highest exponent prime factors of 7045 and 7047. First we will calculate the prime factors of 7045 and 7047.

Prime Factorization of 7045


5 7045
1409 1409
1

Prime factors of 7045 are 5,1409. Prime factorization of 7045 in exponential form is:

7045 = 51×14091

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 7045 and 7047.

LCM(7045,7047) = 35×51×291×14091
LCM(7045,7047) = 49646115

Factors of 7045

List of positive integer factors of 7045 that divides 7045 without a remainder.

1, 5, 1409, 7045

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 7045 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 7045 and 7047, than apply into the LCM equation.

GCF(7045,7047) = 1
LCM(7045,7047) = ( 7045 × 7047) / 1
LCM(7045,7047) = 49646115 / 1
LCM(7045,7047) = 49646115

Properties of LCM 7045 and 7047

(i) The LCM of 7047 and 7045 is associative

LCM of 7045 and 7047 = LCM of 7047 and 7045

Related Least Common Multiples of 7045

Related Least Common Multiples of 7047

Frequently Asked Questions on LCM of 7045 and 7047

1. What is the LCM of 7045 and 7047?

Answer: LCM of 7045 and 7047 is 49646115.

2. What are the Factors of 7045?

Answer: Factors of 7045 are 1, 5, 1409, 7045. There are 4 integers that are factors of 7045. The greatest factor of 7045 is 7045.

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 7045 and 7047?

Answer:

Least Common Multiple of 7045 and 7047 = 49646115

Step 1: Find the prime factorization of 7045

7045 = 5 x 1409

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 = 49646115 = 3 x 3 x 3 x 3 x 3 x 5 x 29 x 1409

Step 4: Therefore, the least common multiple of 7045 and 7047 is 49646115.