Least Common Multiple of 1020 and 1024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1020 and 1024 the smallest integer that is 261120 that is divisible by both numbers.

Least Common Multiple (LCM) of 1020 and 1024 is 261120.

LCM(1020,1024) = 261120

LCM of 1020 and 1024

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

LCM of:
and

Least Common Multiple of 1020 and 1024

LCM of 1020 and 1024 is 261120

Least common multiple can be found by multiplying the highest exponent prime factors of 1020 and 1024. First we will calculate the prime factors of 1020 and 1024.

Prime Factorization of 1020


2 1020
2 510
3 255
5 85
17 17
1

Prime factors of 1020 are 2, 3, 5,17. Prime factorization of 1020 in exponential form is:

1020 = 22×31×51×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1020 and 1024.

LCM(1020,1024) = 210×31×51×171
LCM(1020,1024) = 261120

Factors of 1020

List of positive integer factors of 1020 that divides 1020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020

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

Least Common Multiple of 1020 and 1024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1020 and 1024, than apply into the LCM equation.

GCF(1020,1024) = 4
LCM(1020,1024) = ( 1020 × 1024) / 4
LCM(1020,1024) = 1044480 / 4
LCM(1020,1024) = 261120

Properties of LCM 1020 and 1024

(i) The LCM of 1024 and 1020 is associative

LCM of 1020 and 1024 = LCM of 1024 and 1020

Related Least Common Multiples of 1020

Related Least Common Multiples of 1024

Frequently Asked Questions on LCM of 1020 and 1024

1. What is the LCM of 1020 and 1024?

Answer: LCM of 1020 and 1024 is 261120.

2. What are the Factors of 1020?

Answer: Factors of 1020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020. There are 24 integers that are factors of 1020. The greatest factor of 1020 is 1020.

3. 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.

4. How to Find the LCM of 1020 and 1024?

Answer:

Least Common Multiple of 1020 and 1024 = 261120

Step 1: Find the prime factorization of 1020

1020 = 2 x 2 x 3 x 5 x 17

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 261120 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17

Step 4: Therefore, the least common multiple of 1020 and 1024 is 261120.