Least Common Multiple of 1016 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 1016 and 1024 the smallest integer that is 130048 that is divisible by both numbers.

Least Common Multiple (LCM) of 1016 and 1024 is 130048.

LCM(1016,1024) = 130048

LCM of 1016 and 1024

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

LCM of:
and

Least Common Multiple of 1016 and 1024

LCM of 1016 and 1024 is 130048

Least common multiple can be found by multiplying the highest exponent prime factors of 1016 and 1024. First we will calculate the prime factors of 1016 and 1024.

Prime Factorization of 1016


2 1016
2 508
2 254
127 127
1

Prime factors of 1016 are 2,127. Prime factorization of 1016 in exponential form is:

1016 = 23×1271

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 1016 and 1024.

LCM(1016,1024) = 210×1271
LCM(1016,1024) = 130048

Factors of 1016

List of positive integer factors of 1016 that divides 1016 without a remainder.

1, 2, 4, 8, 127, 254, 508, 1016

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 1016 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 1016 and 1024, than apply into the LCM equation.

GCF(1016,1024) = 8
LCM(1016,1024) = ( 1016 × 1024) / 8
LCM(1016,1024) = 1040384 / 8
LCM(1016,1024) = 130048

Properties of LCM 1016 and 1024

(i) The LCM of 1024 and 1016 is associative

LCM of 1016 and 1024 = LCM of 1024 and 1016

Related Least Common Multiples of 1016

Related Least Common Multiples of 1024

Frequently Asked Questions on LCM of 1016 and 1024

1. What is the LCM of 1016 and 1024?

Answer: LCM of 1016 and 1024 is 130048.

2. What are the Factors of 1016?

Answer: Factors of 1016 are 1, 2, 4, 8, 127, 254, 508, 1016. There are 8 integers that are factors of 1016. The greatest factor of 1016 is 1016.

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 1016 and 1024?

Answer:

Least Common Multiple of 1016 and 1024 = 130048

Step 1: Find the prime factorization of 1016

1016 = 2 x 2 x 2 x 127

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 = 130048 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 127

Step 4: Therefore, the least common multiple of 1016 and 1024 is 130048.