Least Common Multiple of 1031 and 1036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1031 and 1036 the smallest integer that is 1068116 that is divisible by both numbers.

Least Common Multiple (LCM) of 1031 and 1036 is 1068116.

LCM(1031,1036) = 1068116

LCM of 1031 and 1036

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

LCM of:
and

Least Common Multiple of 1031 and 1036

LCM of 1031 and 1036 is 1068116

Least common multiple can be found by multiplying the highest exponent prime factors of 1031 and 1036. First we will calculate the prime factors of 1031 and 1036.

Prime Factorization of 1031


1031 1031
1

Prime factors of 1031 are 1031. Prime factorization of 1031 in exponential form is:

1031 = 10311

Prime Factorization of 1036


2 1036
2 518
7 259
37 37
1

Prime factors of 1036 are 2, 7,37. Prime factorization of 1036 in exponential form is:

1036 = 22×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1031 and 1036.

LCM(1031,1036) = 22×71×371×10311
LCM(1031,1036) = 1068116

Factors of 1031

List of positive integer factors of 1031 that divides 1031 without a remainder.

1, 1031

Factors of 1036

List of positive integer factors of 1036 that divides 1036 without a remainder.

1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036

Least Common Multiple of 1031 and 1036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1031 and 1036, than apply into the LCM equation.

GCF(1031,1036) = 1
LCM(1031,1036) = ( 1031 × 1036) / 1
LCM(1031,1036) = 1068116 / 1
LCM(1031,1036) = 1068116

Properties of LCM 1031 and 1036

(i) The LCM of 1036 and 1031 is associative

LCM of 1031 and 1036 = LCM of 1036 and 1031

Related Least Common Multiples of 1031

Related Least Common Multiples of 1036

Frequently Asked Questions on LCM of 1031 and 1036

1. What is the LCM of 1031 and 1036?

Answer: LCM of 1031 and 1036 is 1068116.

2. What are the Factors of 1031?

Answer: Factors of 1031 are 1, 1031. There are 2 integers that are factors of 1031. The greatest factor of 1031 is 1031.

3. What are the Factors of 1036?

Answer: Factors of 1036 are 1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036. There are 12 integers that are factors of 1036. The greatest factor of 1036 is 1036.

4. How to Find the LCM of 1031 and 1036?

Answer:

Least Common Multiple of 1031 and 1036 = 1068116

Step 1: Find the prime factorization of 1031

1031 = 1031

Step 2: Find the prime factorization of 1036

1036 = 2 x 2 x 7 x 37

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

LCM = 1068116 = 2 x 2 x 7 x 37 x 1031

Step 4: Therefore, the least common multiple of 1031 and 1036 is 1068116.