Least Common Multiple of 8031 and 8036

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 8036 the smallest integer that is 64537116 that is divisible by both numbers.

Least Common Multiple (LCM) of 8031 and 8036 is 64537116.

LCM(8031,8036) = 64537116

LCM of 8031 and 8036

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

LCM of:
and

Least Common Multiple of 8031 and 8036

LCM of 8031 and 8036 is 64537116

Least common multiple can be found by multiplying the highest exponent prime factors of 8031 and 8036. First we will calculate the prime factors of 8031 and 8036.

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 8036


2 8036
2 4018
7 2009
7 287
41 41
1

Prime factors of 8036 are 2, 7,41. Prime factorization of 8036 in exponential form is:

8036 = 22×72×411

Now multiplying the highest exponent prime factors to calculate the LCM of 8031 and 8036.

LCM(8031,8036) = 22×31×72×411×26771
LCM(8031,8036) = 64537116

Factors of 8031

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

1, 3, 2677, 8031

Factors of 8036

List of positive integer factors of 8036 that divides 8036 without a remainder.

1, 2, 4, 7, 14, 28, 41, 49, 82, 98, 164, 196, 287, 574, 1148, 2009, 4018, 8036

Least Common Multiple of 8031 and 8036 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 8036, than apply into the LCM equation.

GCF(8031,8036) = 1
LCM(8031,8036) = ( 8031 × 8036) / 1
LCM(8031,8036) = 64537116 / 1
LCM(8031,8036) = 64537116

Properties of LCM 8031 and 8036

(i) The LCM of 8036 and 8031 is associative

LCM of 8031 and 8036 = LCM of 8036 and 8031

Related Least Common Multiples of 8031

Related Least Common Multiples of 8036

Frequently Asked Questions on LCM of 8031 and 8036

1. What is the LCM of 8031 and 8036?

Answer: LCM of 8031 and 8036 is 64537116.

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 8036?

Answer: Factors of 8036 are 1, 2, 4, 7, 14, 28, 41, 49, 82, 98, 164, 196, 287, 574, 1148, 2009, 4018, 8036. There are 18 integers that are factors of 8036. The greatest factor of 8036 is 8036.

4. How to Find the LCM of 8031 and 8036?

Answer:

Least Common Multiple of 8031 and 8036 = 64537116

Step 1: Find the prime factorization of 8031

8031 = 3 x 2677

Step 2: Find the prime factorization of 8036

8036 = 2 x 2 x 7 x 7 x 41

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

LCM = 64537116 = 2 x 2 x 3 x 7 x 7 x 41 x 2677

Step 4: Therefore, the least common multiple of 8031 and 8036 is 64537116.