Least Common Multiple of 1036 and 1038

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 1038 the smallest integer that is 537684 that is divisible by both numbers.

Least Common Multiple (LCM) of 1036 and 1038 is 537684.

LCM(1036,1038) = 537684

LCM of 1036 and 1038

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

LCM of:
and

Least Common Multiple of 1036 and 1038

LCM of 1036 and 1038 is 537684

Least common multiple can be found by multiplying the highest exponent prime factors of 1036 and 1038. First we will calculate the prime factors of 1036 and 1038.

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 1038


2 1038
3 519
173 173
1

Prime factors of 1038 are 2, 3,173. Prime factorization of 1038 in exponential form is:

1038 = 21×31×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 1036 and 1038.

LCM(1036,1038) = 22×31×71×371×1731
LCM(1036,1038) = 537684

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 1038

List of positive integer factors of 1038 that divides 1038 without a remainder.

1, 2, 3, 6, 173, 346, 519, 1038

Least Common Multiple of 1036 and 1038 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 1038, than apply into the LCM equation.

GCF(1036,1038) = 2
LCM(1036,1038) = ( 1036 × 1038) / 2
LCM(1036,1038) = 1075368 / 2
LCM(1036,1038) = 537684

Properties of LCM 1036 and 1038

(i) The LCM of 1038 and 1036 is associative

LCM of 1036 and 1038 = LCM of 1038 and 1036

Related Least Common Multiples of 1036

Related Least Common Multiples of 1038

Frequently Asked Questions on LCM of 1036 and 1038

1. What is the LCM of 1036 and 1038?

Answer: LCM of 1036 and 1038 is 537684.

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 1038?

Answer: Factors of 1038 are 1, 2, 3, 6, 173, 346, 519, 1038. There are 8 integers that are factors of 1038. The greatest factor of 1038 is 1038.

4. How to Find the LCM of 1036 and 1038?

Answer:

Least Common Multiple of 1036 and 1038 = 537684

Step 1: Find the prime factorization of 1036

1036 = 2 x 2 x 7 x 37

Step 2: Find the prime factorization of 1038

1038 = 2 x 3 x 173

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

LCM = 537684 = 2 x 2 x 3 x 7 x 37 x 173

Step 4: Therefore, the least common multiple of 1036 and 1038 is 537684.