Least Common Multiple of 1024 and 1028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1024 and 1028 the smallest integer that is 263168 that is divisible by both numbers.

Least Common Multiple (LCM) of 1024 and 1028 is 263168.

LCM(1024,1028) = 263168

LCM of 1024 and 1028

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

LCM of:
and

Least Common Multiple of 1024 and 1028

LCM of 1024 and 1028 is 263168

Least common multiple can be found by multiplying the highest exponent prime factors of 1024 and 1028. First we will calculate the prime factors of 1024 and 1028.

Prime Factorization of 1024


2 1024
2 512
2 256
2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 1024 are 2. Prime factorization of 1024 in exponential form is:

1024 = 210

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1024 and 1028.

LCM(1024,1028) = 210×2571
LCM(1024,1028) = 263168

Factors of 1024

List of positive integer factors of 1024 that divides 1024 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024

Factors of 1028

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

1, 2, 4, 257, 514, 1028

Least Common Multiple of 1024 and 1028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1024 and 1028, than apply into the LCM equation.

GCF(1024,1028) = 4
LCM(1024,1028) = ( 1024 × 1028) / 4
LCM(1024,1028) = 1052672 / 4
LCM(1024,1028) = 263168

Properties of LCM 1024 and 1028

(i) The LCM of 1028 and 1024 is associative

LCM of 1024 and 1028 = LCM of 1028 and 1024

Related Least Common Multiples of 1024

Related Least Common Multiples of 1028

Frequently Asked Questions on LCM of 1024 and 1028

1. What is the LCM of 1024 and 1028?

Answer: LCM of 1024 and 1028 is 263168.

2. What are the Factors of 1024?

Answer: Factors of 1024 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024. There are 11 integers that are factors of 1024. The greatest factor of 1024 is 1024.

3. 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.

4. How to Find the LCM of 1024 and 1028?

Answer:

Least Common Multiple of 1024 and 1028 = 263168

Step 1: Find the prime factorization of 1024

1024 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Step 2: Find the prime factorization of 1028

1028 = 2 x 2 x 257

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

LCM = 263168 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 257

Step 4: Therefore, the least common multiple of 1024 and 1028 is 263168.