Least Common Multiple of 7034 and 7039

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7034 and 7039 the smallest integer that is 49512326 that is divisible by both numbers.

Least Common Multiple (LCM) of 7034 and 7039 is 49512326.

LCM(7034,7039) = 49512326

LCM of 7034 and 7039

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

LCM of:
and

Least Common Multiple of 7034 and 7039

LCM of 7034 and 7039 is 49512326

Least common multiple can be found by multiplying the highest exponent prime factors of 7034 and 7039. First we will calculate the prime factors of 7034 and 7039.

Prime Factorization of 7034


2 7034
3517 3517
1

Prime factors of 7034 are 2,3517. Prime factorization of 7034 in exponential form is:

7034 = 21×35171

Prime Factorization of 7039


7039 7039
1

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

7039 = 70391

Now multiplying the highest exponent prime factors to calculate the LCM of 7034 and 7039.

LCM(7034,7039) = 21×35171×70391
LCM(7034,7039) = 49512326

Factors of 7034

List of positive integer factors of 7034 that divides 7034 without a remainder.

1, 2, 3517, 7034

Factors of 7039

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

1, 7039

Least Common Multiple of 7034 and 7039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7034 and 7039, than apply into the LCM equation.

GCF(7034,7039) = 1
LCM(7034,7039) = ( 7034 × 7039) / 1
LCM(7034,7039) = 49512326 / 1
LCM(7034,7039) = 49512326

Properties of LCM 7034 and 7039

(i) The LCM of 7039 and 7034 is associative

LCM of 7034 and 7039 = LCM of 7039 and 7034

Related Least Common Multiples of 7034

Related Least Common Multiples of 7039

Frequently Asked Questions on LCM of 7034 and 7039

1. What is the LCM of 7034 and 7039?

Answer: LCM of 7034 and 7039 is 49512326.

2. What are the Factors of 7034?

Answer: Factors of 7034 are 1, 2, 3517, 7034. There are 4 integers that are factors of 7034. The greatest factor of 7034 is 7034.

3. 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.

4. How to Find the LCM of 7034 and 7039?

Answer:

Least Common Multiple of 7034 and 7039 = 49512326

Step 1: Find the prime factorization of 7034

7034 = 2 x 3517

Step 2: Find the prime factorization of 7039

7039 = 7039

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

LCM = 49512326 = 2 x 3517 x 7039

Step 4: Therefore, the least common multiple of 7034 and 7039 is 49512326.