Least Common Multiple of 1028 and 1030

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 1030 the smallest integer that is 529420 that is divisible by both numbers.

Least Common Multiple (LCM) of 1028 and 1030 is 529420.

LCM(1028,1030) = 529420

LCM of 1028 and 1030

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

LCM of:
and

Least Common Multiple of 1028 and 1030

LCM of 1028 and 1030 is 529420

Least common multiple can be found by multiplying the highest exponent prime factors of 1028 and 1030. First we will calculate the prime factors of 1028 and 1030.

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 1030


2 1030
5 515
103 103
1

Prime factors of 1030 are 2, 5,103. Prime factorization of 1030 in exponential form is:

1030 = 21×51×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 1028 and 1030.

LCM(1028,1030) = 22×51×1031×2571
LCM(1028,1030) = 529420

Factors of 1028

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

1, 2, 4, 257, 514, 1028

Factors of 1030

List of positive integer factors of 1030 that divides 1030 without a remainder.

1, 2, 5, 10, 103, 206, 515, 1030

Least Common Multiple of 1028 and 1030 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 1030, than apply into the LCM equation.

GCF(1028,1030) = 2
LCM(1028,1030) = ( 1028 × 1030) / 2
LCM(1028,1030) = 1058840 / 2
LCM(1028,1030) = 529420

Properties of LCM 1028 and 1030

(i) The LCM of 1030 and 1028 is associative

LCM of 1028 and 1030 = LCM of 1030 and 1028

Related Least Common Multiples of 1028

Related Least Common Multiples of 1030

Frequently Asked Questions on LCM of 1028 and 1030

1. What is the LCM of 1028 and 1030?

Answer: LCM of 1028 and 1030 is 529420.

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 1030?

Answer: Factors of 1030 are 1, 2, 5, 10, 103, 206, 515, 1030. There are 8 integers that are factors of 1030. The greatest factor of 1030 is 1030.

4. How to Find the LCM of 1028 and 1030?

Answer:

Least Common Multiple of 1028 and 1030 = 529420

Step 1: Find the prime factorization of 1028

1028 = 2 x 2 x 257

Step 2: Find the prime factorization of 1030

1030 = 2 x 5 x 103

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

LCM = 529420 = 2 x 2 x 5 x 103 x 257

Step 4: Therefore, the least common multiple of 1028 and 1030 is 529420.