Least Common Multiple of 1024 and 1027

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 1027 the smallest integer that is 1051648 that is divisible by both numbers.

Least Common Multiple (LCM) of 1024 and 1027 is 1051648.

LCM(1024,1027) = 1051648

LCM of 1024 and 1027

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

LCM of:
and

Least Common Multiple of 1024 and 1027

LCM of 1024 and 1027 is 1051648

Least common multiple can be found by multiplying the highest exponent prime factors of 1024 and 1027. First we will calculate the prime factors of 1024 and 1027.

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 1027


13 1027
79 79
1

Prime factors of 1027 are 13,79. Prime factorization of 1027 in exponential form is:

1027 = 131×791

Now multiplying the highest exponent prime factors to calculate the LCM of 1024 and 1027.

LCM(1024,1027) = 210×131×791
LCM(1024,1027) = 1051648

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 1027

List of positive integer factors of 1027 that divides 1027 without a remainder.

1, 13, 79, 1027

Least Common Multiple of 1024 and 1027 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 1027, than apply into the LCM equation.

GCF(1024,1027) = 1
LCM(1024,1027) = ( 1024 × 1027) / 1
LCM(1024,1027) = 1051648 / 1
LCM(1024,1027) = 1051648

Properties of LCM 1024 and 1027

(i) The LCM of 1027 and 1024 is associative

LCM of 1024 and 1027 = LCM of 1027 and 1024

Related Least Common Multiples of 1024

Related Least Common Multiples of 1027

Frequently Asked Questions on LCM of 1024 and 1027

1. What is the LCM of 1024 and 1027?

Answer: LCM of 1024 and 1027 is 1051648.

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 1027?

Answer: Factors of 1027 are 1, 13, 79, 1027. There are 4 integers that are factors of 1027. The greatest factor of 1027 is 1027.

4. How to Find the LCM of 1024 and 1027?

Answer:

Least Common Multiple of 1024 and 1027 = 1051648

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 1027

1027 = 13 x 79

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

LCM = 1051648 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 x 79

Step 4: Therefore, the least common multiple of 1024 and 1027 is 1051648.