Least Common Multiple of 1024 and 1031

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 1031 the smallest integer that is 1055744 that is divisible by both numbers.

Least Common Multiple (LCM) of 1024 and 1031 is 1055744.

LCM(1024,1031) = 1055744

LCM of 1024 and 1031

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

LCM of:
and

Least Common Multiple of 1024 and 1031

LCM of 1024 and 1031 is 1055744

Least common multiple can be found by multiplying the highest exponent prime factors of 1024 and 1031. First we will calculate the prime factors of 1024 and 1031.

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 1031


1031 1031
1

Prime factors of 1031 are 1031. Prime factorization of 1031 in exponential form is:

1031 = 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 1024 and 1031.

LCM(1024,1031) = 210×10311
LCM(1024,1031) = 1055744

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 1031

List of positive integer factors of 1031 that divides 1031 without a remainder.

1, 1031

Least Common Multiple of 1024 and 1031 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 1031, than apply into the LCM equation.

GCF(1024,1031) = 1
LCM(1024,1031) = ( 1024 × 1031) / 1
LCM(1024,1031) = 1055744 / 1
LCM(1024,1031) = 1055744

Properties of LCM 1024 and 1031

(i) The LCM of 1031 and 1024 is associative

LCM of 1024 and 1031 = LCM of 1031 and 1024

Related Least Common Multiples of 1024

Related Least Common Multiples of 1031

Frequently Asked Questions on LCM of 1024 and 1031

1. What is the LCM of 1024 and 1031?

Answer: LCM of 1024 and 1031 is 1055744.

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 1031?

Answer: Factors of 1031 are 1, 1031. There are 2 integers that are factors of 1031. The greatest factor of 1031 is 1031.

4. How to Find the LCM of 1024 and 1031?

Answer:

Least Common Multiple of 1024 and 1031 = 1055744

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 1031

1031 = 1031

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

LCM = 1055744 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 1031

Step 4: Therefore, the least common multiple of 1024 and 1031 is 1055744.