Least Common Multiple of 1028 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 1028 and 1036 the smallest integer that is 266252 that is divisible by both numbers.

Least Common Multiple (LCM) of 1028 and 1036 is 266252.

LCM(1028,1036) = 266252

LCM of 1028 and 1036

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

LCM of:
and

Least Common Multiple of 1028 and 1036

LCM of 1028 and 1036 is 266252

Least common multiple can be found by multiplying the highest exponent prime factors of 1028 and 1036. First we will calculate the prime factors of 1028 and 1036.

Prime Factorization of 1028


2 1028
2 514
257 257
1

Prime factors of 1028 are 2,257. Prime factorization of 1028 in exponential form is:

1028 = 22×2571

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 1028 and 1036.

LCM(1028,1036) = 22×71×371×2571
LCM(1028,1036) = 266252

Factors of 1028

List of positive integer factors of 1028 that divides 1028 without a remainder.

1, 2, 4, 257, 514, 1028

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 1028 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 1028 and 1036, than apply into the LCM equation.

GCF(1028,1036) = 4
LCM(1028,1036) = ( 1028 × 1036) / 4
LCM(1028,1036) = 1065008 / 4
LCM(1028,1036) = 266252

Properties of LCM 1028 and 1036

(i) The LCM of 1036 and 1028 is associative

LCM of 1028 and 1036 = LCM of 1036 and 1028

Related Least Common Multiples of 1028

Related Least Common Multiples of 1036

Frequently Asked Questions on LCM of 1028 and 1036

1. What is the LCM of 1028 and 1036?

Answer: LCM of 1028 and 1036 is 266252.

2. What are the Factors of 1028?

Answer: Factors of 1028 are 1, 2, 4, 257, 514, 1028. There are 6 integers that are factors of 1028. The greatest factor of 1028 is 1028.

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 1028 and 1036?

Answer:

Least Common Multiple of 1028 and 1036 = 266252

Step 1: Find the prime factorization of 1028

1028 = 2 x 2 x 257

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 = 266252 = 2 x 2 x 7 x 37 x 257

Step 4: Therefore, the least common multiple of 1028 and 1036 is 266252.