Least Common Multiple of 1024 and 1030

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 1030 the smallest integer that is 527360 that is divisible by both numbers.

Least Common Multiple (LCM) of 1024 and 1030 is 527360.

LCM(1024,1030) = 527360

LCM of 1024 and 1030

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

LCM of:
and

Least Common Multiple of 1024 and 1030

LCM of 1024 and 1030 is 527360

Least common multiple can be found by multiplying the highest exponent prime factors of 1024 and 1030. First we will calculate the prime factors of 1024 and 1030.

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 1030


2 1030
5 515
103 103
1

Prime factors of 1030 are 2, 5,103. Prime factorization of 1030 in exponential form is:

1030 = 21×51×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 1024 and 1030.

LCM(1024,1030) = 210×51×1031
LCM(1024,1030) = 527360

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 1030

List of positive integer factors of 1030 that divides 1030 without a remainder.

1, 2, 5, 10, 103, 206, 515, 1030

Least Common Multiple of 1024 and 1030 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 1030, than apply into the LCM equation.

GCF(1024,1030) = 2
LCM(1024,1030) = ( 1024 × 1030) / 2
LCM(1024,1030) = 1054720 / 2
LCM(1024,1030) = 527360

Properties of LCM 1024 and 1030

(i) The LCM of 1030 and 1024 is associative

LCM of 1024 and 1030 = LCM of 1030 and 1024

Related Least Common Multiples of 1024

Related Least Common Multiples of 1030

Frequently Asked Questions on LCM of 1024 and 1030

1. What is the LCM of 1024 and 1030?

Answer: LCM of 1024 and 1030 is 527360.

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 1030?

Answer: Factors of 1030 are 1, 2, 5, 10, 103, 206, 515, 1030. There are 8 integers that are factors of 1030. The greatest factor of 1030 is 1030.

4. How to Find the LCM of 1024 and 1030?

Answer:

Least Common Multiple of 1024 and 1030 = 527360

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 1030

1030 = 2 x 5 x 103

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

LCM = 527360 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 103

Step 4: Therefore, the least common multiple of 1024 and 1030 is 527360.