Least Common Multiple of 1023 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 1023 and 1028 the smallest integer that is 1051644 that is divisible by both numbers.

Least Common Multiple (LCM) of 1023 and 1028 is 1051644.

LCM(1023,1028) = 1051644

LCM of 1023 and 1028

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

LCM of:
and

Least Common Multiple of 1023 and 1028

LCM of 1023 and 1028 is 1051644

Least common multiple can be found by multiplying the highest exponent prime factors of 1023 and 1028. First we will calculate the prime factors of 1023 and 1028.

Prime Factorization of 1023


3 1023
11 341
31 31
1

Prime factors of 1023 are 3, 11,31. Prime factorization of 1023 in exponential form is:

1023 = 31×111×311

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 1023 and 1028.

LCM(1023,1028) = 22×31×111×311×2571
LCM(1023,1028) = 1051644

Factors of 1023

List of positive integer factors of 1023 that divides 1023 without a remainder.

1, 3, 11, 31, 33, 93, 341, 1023

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 1023 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 1023 and 1028, than apply into the LCM equation.

GCF(1023,1028) = 1
LCM(1023,1028) = ( 1023 × 1028) / 1
LCM(1023,1028) = 1051644 / 1
LCM(1023,1028) = 1051644

Properties of LCM 1023 and 1028

(i) The LCM of 1028 and 1023 is associative

LCM of 1023 and 1028 = LCM of 1028 and 1023

Related Least Common Multiples of 1023

Related Least Common Multiples of 1028

Frequently Asked Questions on LCM of 1023 and 1028

1. What is the LCM of 1023 and 1028?

Answer: LCM of 1023 and 1028 is 1051644.

2. What are the Factors of 1023?

Answer: Factors of 1023 are 1, 3, 11, 31, 33, 93, 341, 1023. There are 8 integers that are factors of 1023. The greatest factor of 1023 is 1023.

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 1023 and 1028?

Answer:

Least Common Multiple of 1023 and 1028 = 1051644

Step 1: Find the prime factorization of 1023

1023 = 3 x 11 x 31

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 = 1051644 = 2 x 2 x 3 x 11 x 31 x 257

Step 4: Therefore, the least common multiple of 1023 and 1028 is 1051644.