Least Common Multiple of 7042 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 7042 and 7047 the smallest integer that is 49624974 that is divisible by both numbers.

Least Common Multiple (LCM) of 7042 and 7047 is 49624974.

LCM(7042,7047) = 49624974

LCM of 7042 and 7047

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

LCM of:
and

Least Common Multiple of 7042 and 7047

LCM of 7042 and 7047 is 49624974

Least common multiple can be found by multiplying the highest exponent prime factors of 7042 and 7047. First we will calculate the prime factors of 7042 and 7047.

Prime Factorization of 7042


2 7042
7 3521
503 503
1

Prime factors of 7042 are 2, 7,503. Prime factorization of 7042 in exponential form is:

7042 = 21×71×5031

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 7042 and 7047.

LCM(7042,7047) = 21×35×71×291×5031
LCM(7042,7047) = 49624974

Factors of 7042

List of positive integer factors of 7042 that divides 7042 without a remainder.

1, 2, 7, 14, 503, 1006, 3521, 7042

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 7042 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 7042 and 7047, than apply into the LCM equation.

GCF(7042,7047) = 1
LCM(7042,7047) = ( 7042 × 7047) / 1
LCM(7042,7047) = 49624974 / 1
LCM(7042,7047) = 49624974

Properties of LCM 7042 and 7047

(i) The LCM of 7047 and 7042 is associative

LCM of 7042 and 7047 = LCM of 7047 and 7042

Related Least Common Multiples of 7042

Related Least Common Multiples of 7047

Frequently Asked Questions on LCM of 7042 and 7047

1. What is the LCM of 7042 and 7047?

Answer: LCM of 7042 and 7047 is 49624974.

2. What are the Factors of 7042?

Answer: Factors of 7042 are 1, 2, 7, 14, 503, 1006, 3521, 7042. There are 8 integers that are factors of 7042. The greatest factor of 7042 is 7042.

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 7042 and 7047?

Answer:

Least Common Multiple of 7042 and 7047 = 49624974

Step 1: Find the prime factorization of 7042

7042 = 2 x 7 x 503

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 = 49624974 = 2 x 3 x 3 x 3 x 3 x 3 x 7 x 29 x 503

Step 4: Therefore, the least common multiple of 7042 and 7047 is 49624974.