Least Common Multiple of 1020 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 1020 and 1028 the smallest integer that is 262140 that is divisible by both numbers.

Least Common Multiple (LCM) of 1020 and 1028 is 262140.

LCM(1020,1028) = 262140

LCM of 1020 and 1028

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

LCM of:
and

Least Common Multiple of 1020 and 1028

LCM of 1020 and 1028 is 262140

Least common multiple can be found by multiplying the highest exponent prime factors of 1020 and 1028. First we will calculate the prime factors of 1020 and 1028.

Prime Factorization of 1020


2 1020
2 510
3 255
5 85
17 17
1

Prime factors of 1020 are 2, 3, 5,17. Prime factorization of 1020 in exponential form is:

1020 = 22×31×51×171

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 1020 and 1028.

LCM(1020,1028) = 22×31×51×171×2571
LCM(1020,1028) = 262140

Factors of 1020

List of positive integer factors of 1020 that divides 1020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020

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 1020 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 1020 and 1028, than apply into the LCM equation.

GCF(1020,1028) = 4
LCM(1020,1028) = ( 1020 × 1028) / 4
LCM(1020,1028) = 1048560 / 4
LCM(1020,1028) = 262140

Properties of LCM 1020 and 1028

(i) The LCM of 1028 and 1020 is associative

LCM of 1020 and 1028 = LCM of 1028 and 1020

Related Least Common Multiples of 1020

Related Least Common Multiples of 1028

Frequently Asked Questions on LCM of 1020 and 1028

1. What is the LCM of 1020 and 1028?

Answer: LCM of 1020 and 1028 is 262140.

2. What are the Factors of 1020?

Answer: Factors of 1020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020. There are 24 integers that are factors of 1020. The greatest factor of 1020 is 1020.

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 1020 and 1028?

Answer:

Least Common Multiple of 1020 and 1028 = 262140

Step 1: Find the prime factorization of 1020

1020 = 2 x 2 x 3 x 5 x 17

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 = 262140 = 2 x 2 x 3 x 5 x 17 x 257

Step 4: Therefore, the least common multiple of 1020 and 1028 is 262140.