Least Common Multiple of 8039 and 8043

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8039 and 8043 the smallest integer that is 64657677 that is divisible by both numbers.

Least Common Multiple (LCM) of 8039 and 8043 is 64657677.

LCM(8039,8043) = 64657677

LCM of 8039 and 8043

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

LCM of:
and

Least Common Multiple of 8039 and 8043

LCM of 8039 and 8043 is 64657677

Least common multiple can be found by multiplying the highest exponent prime factors of 8039 and 8043. First we will calculate the prime factors of 8039 and 8043.

Prime Factorization of 8039


8039 8039
1

Prime factors of 8039 are 8039. Prime factorization of 8039 in exponential form is:

8039 = 80391

Prime Factorization of 8043


3 8043
7 2681
383 383
1

Prime factors of 8043 are 3, 7,383. Prime factorization of 8043 in exponential form is:

8043 = 31×71×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 8039 and 8043.

LCM(8039,8043) = 31×71×3831×80391
LCM(8039,8043) = 64657677

Factors of 8039

List of positive integer factors of 8039 that divides 8039 without a remainder.

1, 8039

Factors of 8043

List of positive integer factors of 8043 that divides 8043 without a remainder.

1, 3, 7, 21, 383, 1149, 2681, 8043

Least Common Multiple of 8039 and 8043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8039 and 8043, than apply into the LCM equation.

GCF(8039,8043) = 1
LCM(8039,8043) = ( 8039 × 8043) / 1
LCM(8039,8043) = 64657677 / 1
LCM(8039,8043) = 64657677

Properties of LCM 8039 and 8043

(i) The LCM of 8043 and 8039 is associative

LCM of 8039 and 8043 = LCM of 8043 and 8039

Related Least Common Multiples of 8039

Related Least Common Multiples of 8043

Frequently Asked Questions on LCM of 8039 and 8043

1. What is the LCM of 8039 and 8043?

Answer: LCM of 8039 and 8043 is 64657677.

2. What are the Factors of 8039?

Answer: Factors of 8039 are 1, 8039. There are 2 integers that are factors of 8039. The greatest factor of 8039 is 8039.

3. What are the Factors of 8043?

Answer: Factors of 8043 are 1, 3, 7, 21, 383, 1149, 2681, 8043. There are 8 integers that are factors of 8043. The greatest factor of 8043 is 8043.

4. How to Find the LCM of 8039 and 8043?

Answer:

Least Common Multiple of 8039 and 8043 = 64657677

Step 1: Find the prime factorization of 8039

8039 = 8039

Step 2: Find the prime factorization of 8043

8043 = 3 x 7 x 383

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

LCM = 64657677 = 3 x 7 x 383 x 8039

Step 4: Therefore, the least common multiple of 8039 and 8043 is 64657677.