Least Common Multiple of 1022 and 1028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1022 and 1028 the smallest integer that is 525308 that is divisible by both numbers.

Least Common Multiple (LCM) of 1022 and 1028 is 525308.

LCM(1022,1028) = 525308

LCM of 1022 and 1028

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

LCM of:
and

Least Common Multiple of 1022 and 1028

LCM of 1022 and 1028 is 525308

Least common multiple can be found by multiplying the highest exponent prime factors of 1022 and 1028. First we will calculate the prime factors of 1022 and 1028.

Prime Factorization of 1022


2 1022
7 511
73 73
1

Prime factors of 1022 are 2, 7,73. Prime factorization of 1022 in exponential form is:

1022 = 21×71×731

Prime Factorization of 1028


2 1028
2 514
257 257
1

Prime factors of 1028 are 2,257. Prime factorization of 1028 in exponential form is:

1028 = 22×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 1022 and 1028.

LCM(1022,1028) = 22×71×731×2571
LCM(1022,1028) = 525308

Factors of 1022

List of positive integer factors of 1022 that divides 1022 without a remainder.

1, 2, 7, 14, 73, 146, 511, 1022

Factors of 1028

List of positive integer factors of 1028 that divides 1028 without a remainder.

1, 2, 4, 257, 514, 1028

Least Common Multiple of 1022 and 1028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1022 and 1028, than apply into the LCM equation.

GCF(1022,1028) = 2
LCM(1022,1028) = ( 1022 × 1028) / 2
LCM(1022,1028) = 1050616 / 2
LCM(1022,1028) = 525308

Properties of LCM 1022 and 1028

(i) The LCM of 1028 and 1022 is associative

LCM of 1022 and 1028 = LCM of 1028 and 1022

Related Least Common Multiples of 1022

Related Least Common Multiples of 1028

Frequently Asked Questions on LCM of 1022 and 1028

1. What is the LCM of 1022 and 1028?

Answer: LCM of 1022 and 1028 is 525308.

2. What are the Factors of 1022?

Answer: Factors of 1022 are 1, 2, 7, 14, 73, 146, 511, 1022. There are 8 integers that are factors of 1022. The greatest factor of 1022 is 1022.

3. What are the Factors of 1028?

Answer: Factors of 1028 are 1, 2, 4, 257, 514, 1028. There are 6 integers that are factors of 1028. The greatest factor of 1028 is 1028.

4. How to Find the LCM of 1022 and 1028?

Answer:

Least Common Multiple of 1022 and 1028 = 525308

Step 1: Find the prime factorization of 1022

1022 = 2 x 7 x 73

Step 2: Find the prime factorization of 1028

1028 = 2 x 2 x 257

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

LCM = 525308 = 2 x 2 x 7 x 73 x 257

Step 4: Therefore, the least common multiple of 1022 and 1028 is 525308.