Least Common Multiple of 1028 and 1031

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1028 and 1031 the smallest integer that is 1059868 that is divisible by both numbers.

Least Common Multiple (LCM) of 1028 and 1031 is 1059868.

LCM(1028,1031) = 1059868

LCM of 1028 and 1031

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

LCM of:
and

Least Common Multiple of 1028 and 1031

LCM of 1028 and 1031 is 1059868

Least common multiple can be found by multiplying the highest exponent prime factors of 1028 and 1031. First we will calculate the prime factors of 1028 and 1031.

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

Prime Factorization of 1031


1031 1031
1

Prime factors of 1031 are 1031. Prime factorization of 1031 in exponential form is:

1031 = 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 1028 and 1031.

LCM(1028,1031) = 22×2571×10311
LCM(1028,1031) = 1059868

Factors of 1028

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

1, 2, 4, 257, 514, 1028

Factors of 1031

List of positive integer factors of 1031 that divides 1031 without a remainder.

1, 1031

Least Common Multiple of 1028 and 1031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1028 and 1031, than apply into the LCM equation.

GCF(1028,1031) = 1
LCM(1028,1031) = ( 1028 × 1031) / 1
LCM(1028,1031) = 1059868 / 1
LCM(1028,1031) = 1059868

Properties of LCM 1028 and 1031

(i) The LCM of 1031 and 1028 is associative

LCM of 1028 and 1031 = LCM of 1031 and 1028

Related Least Common Multiples of 1028

Related Least Common Multiples of 1031

Frequently Asked Questions on LCM of 1028 and 1031

1. What is the LCM of 1028 and 1031?

Answer: LCM of 1028 and 1031 is 1059868.

2. 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.

3. What are the Factors of 1031?

Answer: Factors of 1031 are 1, 1031. There are 2 integers that are factors of 1031. The greatest factor of 1031 is 1031.

4. How to Find the LCM of 1028 and 1031?

Answer:

Least Common Multiple of 1028 and 1031 = 1059868

Step 1: Find the prime factorization of 1028

1028 = 2 x 2 x 257

Step 2: Find the prime factorization of 1031

1031 = 1031

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

LCM = 1059868 = 2 x 2 x 257 x 1031

Step 4: Therefore, the least common multiple of 1028 and 1031 is 1059868.