Least Common Multiple of 1036 and 1039

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1036 and 1039 the smallest integer that is 1076404 that is divisible by both numbers.

Least Common Multiple (LCM) of 1036 and 1039 is 1076404.

LCM(1036,1039) = 1076404

LCM of 1036 and 1039

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

LCM of:
and

Least Common Multiple of 1036 and 1039

LCM of 1036 and 1039 is 1076404

Least common multiple can be found by multiplying the highest exponent prime factors of 1036 and 1039. First we will calculate the prime factors of 1036 and 1039.

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

Prime Factorization of 1039


1039 1039
1

Prime factors of 1039 are 1039. Prime factorization of 1039 in exponential form is:

1039 = 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 1036 and 1039.

LCM(1036,1039) = 22×71×371×10391
LCM(1036,1039) = 1076404

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

Factors of 1039

List of positive integer factors of 1039 that divides 1039 without a remainder.

1, 1039

Least Common Multiple of 1036 and 1039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1036 and 1039, than apply into the LCM equation.

GCF(1036,1039) = 1
LCM(1036,1039) = ( 1036 × 1039) / 1
LCM(1036,1039) = 1076404 / 1
LCM(1036,1039) = 1076404

Properties of LCM 1036 and 1039

(i) The LCM of 1039 and 1036 is associative

LCM of 1036 and 1039 = LCM of 1039 and 1036

Related Least Common Multiples of 1036

Related Least Common Multiples of 1039

Frequently Asked Questions on LCM of 1036 and 1039

1. What is the LCM of 1036 and 1039?

Answer: LCM of 1036 and 1039 is 1076404.

2. 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.

3. What are the Factors of 1039?

Answer: Factors of 1039 are 1, 1039. There are 2 integers that are factors of 1039. The greatest factor of 1039 is 1039.

4. How to Find the LCM of 1036 and 1039?

Answer:

Least Common Multiple of 1036 and 1039 = 1076404

Step 1: Find the prime factorization of 1036

1036 = 2 x 2 x 7 x 37

Step 2: Find the prime factorization of 1039

1039 = 1039

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

LCM = 1076404 = 2 x 2 x 7 x 37 x 1039

Step 4: Therefore, the least common multiple of 1036 and 1039 is 1076404.