Least Common Multiple of 7039 and 7042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7039 and 7042 the smallest integer that is 49568638 that is divisible by both numbers.

Least Common Multiple (LCM) of 7039 and 7042 is 49568638.

LCM(7039,7042) = 49568638

LCM of 7039 and 7042

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

LCM of:
and

Least Common Multiple of 7039 and 7042

LCM of 7039 and 7042 is 49568638

Least common multiple can be found by multiplying the highest exponent prime factors of 7039 and 7042. First we will calculate the prime factors of 7039 and 7042.

Prime Factorization of 7039


7039 7039
1

Prime factors of 7039 are 7039. Prime factorization of 7039 in exponential form is:

7039 = 70391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7039 and 7042.

LCM(7039,7042) = 21×71×5031×70391
LCM(7039,7042) = 49568638

Factors of 7039

List of positive integer factors of 7039 that divides 7039 without a remainder.

1, 7039

Factors of 7042

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

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

Least Common Multiple of 7039 and 7042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7039 and 7042, than apply into the LCM equation.

GCF(7039,7042) = 1
LCM(7039,7042) = ( 7039 × 7042) / 1
LCM(7039,7042) = 49568638 / 1
LCM(7039,7042) = 49568638

Properties of LCM 7039 and 7042

(i) The LCM of 7042 and 7039 is associative

LCM of 7039 and 7042 = LCM of 7042 and 7039

Related Least Common Multiples of 7039

Related Least Common Multiples of 7042

Frequently Asked Questions on LCM of 7039 and 7042

1. What is the LCM of 7039 and 7042?

Answer: LCM of 7039 and 7042 is 49568638.

2. What are the Factors of 7039?

Answer: Factors of 7039 are 1, 7039. There are 2 integers that are factors of 7039. The greatest factor of 7039 is 7039.

3. 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.

4. How to Find the LCM of 7039 and 7042?

Answer:

Least Common Multiple of 7039 and 7042 = 49568638

Step 1: Find the prime factorization of 7039

7039 = 7039

Step 2: Find the prime factorization of 7042

7042 = 2 x 7 x 503

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

LCM = 49568638 = 2 x 7 x 503 x 7039

Step 4: Therefore, the least common multiple of 7039 and 7042 is 49568638.