Least Common Multiple of 8031 and 8039

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8031 and 8039 the smallest integer that is 64561209 that is divisible by both numbers.

Least Common Multiple (LCM) of 8031 and 8039 is 64561209.

LCM(8031,8039) = 64561209

LCM of 8031 and 8039

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

LCM of:
and

Least Common Multiple of 8031 and 8039

LCM of 8031 and 8039 is 64561209

Least common multiple can be found by multiplying the highest exponent prime factors of 8031 and 8039. First we will calculate the prime factors of 8031 and 8039.

Prime Factorization of 8031


3 8031
2677 2677
1

Prime factors of 8031 are 3,2677. Prime factorization of 8031 in exponential form is:

8031 = 31×26771

Prime Factorization of 8039


8039 8039
1

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

8039 = 80391

Now multiplying the highest exponent prime factors to calculate the LCM of 8031 and 8039.

LCM(8031,8039) = 31×26771×80391
LCM(8031,8039) = 64561209

Factors of 8031

List of positive integer factors of 8031 that divides 8031 without a remainder.

1, 3, 2677, 8031

Factors of 8039

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

1, 8039

Least Common Multiple of 8031 and 8039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8031 and 8039, than apply into the LCM equation.

GCF(8031,8039) = 1
LCM(8031,8039) = ( 8031 × 8039) / 1
LCM(8031,8039) = 64561209 / 1
LCM(8031,8039) = 64561209

Properties of LCM 8031 and 8039

(i) The LCM of 8039 and 8031 is associative

LCM of 8031 and 8039 = LCM of 8039 and 8031

Related Least Common Multiples of 8031

Related Least Common Multiples of 8039

Frequently Asked Questions on LCM of 8031 and 8039

1. What is the LCM of 8031 and 8039?

Answer: LCM of 8031 and 8039 is 64561209.

2. What are the Factors of 8031?

Answer: Factors of 8031 are 1, 3, 2677, 8031. There are 4 integers that are factors of 8031. The greatest factor of 8031 is 8031.

3. 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.

4. How to Find the LCM of 8031 and 8039?

Answer:

Least Common Multiple of 8031 and 8039 = 64561209

Step 1: Find the prime factorization of 8031

8031 = 3 x 2677

Step 2: Find the prime factorization of 8039

8039 = 8039

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

LCM = 64561209 = 3 x 2677 x 8039

Step 4: Therefore, the least common multiple of 8031 and 8039 is 64561209.