Least Common Multiple of 1036 and 1040

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 1040 the smallest integer that is 269360 that is divisible by both numbers.

Least Common Multiple (LCM) of 1036 and 1040 is 269360.

LCM(1036,1040) = 269360

LCM of 1036 and 1040

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

LCM of:
and

Least Common Multiple of 1036 and 1040

LCM of 1036 and 1040 is 269360

Least common multiple can be found by multiplying the highest exponent prime factors of 1036 and 1040. First we will calculate the prime factors of 1036 and 1040.

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 1040


2 1040
2 520
2 260
2 130
5 65
13 13
1

Prime factors of 1040 are 2, 5,13. Prime factorization of 1040 in exponential form is:

1040 = 24×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1036 and 1040.

LCM(1036,1040) = 24×51×71×131×371
LCM(1036,1040) = 269360

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 1040

List of positive integer factors of 1040 that divides 1040 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040

Least Common Multiple of 1036 and 1040 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 1040, than apply into the LCM equation.

GCF(1036,1040) = 4
LCM(1036,1040) = ( 1036 × 1040) / 4
LCM(1036,1040) = 1077440 / 4
LCM(1036,1040) = 269360

Properties of LCM 1036 and 1040

(i) The LCM of 1040 and 1036 is associative

LCM of 1036 and 1040 = LCM of 1040 and 1036

Related Least Common Multiples of 1036

Related Least Common Multiples of 1040

Frequently Asked Questions on LCM of 1036 and 1040

1. What is the LCM of 1036 and 1040?

Answer: LCM of 1036 and 1040 is 269360.

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 1040?

Answer: Factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040. There are 20 integers that are factors of 1040. The greatest factor of 1040 is 1040.

4. How to Find the LCM of 1036 and 1040?

Answer:

Least Common Multiple of 1036 and 1040 = 269360

Step 1: Find the prime factorization of 1036

1036 = 2 x 2 x 7 x 37

Step 2: Find the prime factorization of 1040

1040 = 2 x 2 x 2 x 2 x 5 x 13

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

LCM = 269360 = 2 x 2 x 2 x 2 x 5 x 7 x 13 x 37

Step 4: Therefore, the least common multiple of 1036 and 1040 is 269360.