Least Common Multiple of 1024 and 1029

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 1029 the smallest integer that is 1053696 that is divisible by both numbers.

Least Common Multiple (LCM) of 1024 and 1029 is 1053696.

LCM(1024,1029) = 1053696

LCM of 1024 and 1029

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

LCM of:
and

Least Common Multiple of 1024 and 1029

LCM of 1024 and 1029 is 1053696

Least common multiple can be found by multiplying the highest exponent prime factors of 1024 and 1029. First we will calculate the prime factors of 1024 and 1029.

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 1029


3 1029
7 343
7 49
7 7
1

Prime factors of 1029 are 3,7. Prime factorization of 1029 in exponential form is:

1029 = 31×73

Now multiplying the highest exponent prime factors to calculate the LCM of 1024 and 1029.

LCM(1024,1029) = 210×31×73
LCM(1024,1029) = 1053696

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 1029

List of positive integer factors of 1029 that divides 1029 without a remainder.

1, 3, 7, 21, 49, 147, 343, 1029

Least Common Multiple of 1024 and 1029 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 1029, than apply into the LCM equation.

GCF(1024,1029) = 1
LCM(1024,1029) = ( 1024 × 1029) / 1
LCM(1024,1029) = 1053696 / 1
LCM(1024,1029) = 1053696

Properties of LCM 1024 and 1029

(i) The LCM of 1029 and 1024 is associative

LCM of 1024 and 1029 = LCM of 1029 and 1024

Related Least Common Multiples of 1024

Related Least Common Multiples of 1029

Frequently Asked Questions on LCM of 1024 and 1029

1. What is the LCM of 1024 and 1029?

Answer: LCM of 1024 and 1029 is 1053696.

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 1029?

Answer: Factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029. There are 8 integers that are factors of 1029. The greatest factor of 1029 is 1029.

4. How to Find the LCM of 1024 and 1029?

Answer:

Least Common Multiple of 1024 and 1029 = 1053696

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 1029

1029 = 3 x 7 x 7 x 7

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

LCM = 1053696 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 7

Step 4: Therefore, the least common multiple of 1024 and 1029 is 1053696.