Least Common Multiple of 1022 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 1022 and 1030 the smallest integer that is 526330 that is divisible by both numbers.

Least Common Multiple (LCM) of 1022 and 1030 is 526330.

LCM(1022,1030) = 526330

LCM of 1022 and 1030

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

LCM of:
and

Least Common Multiple of 1022 and 1030

LCM of 1022 and 1030 is 526330

Least common multiple can be found by multiplying the highest exponent prime factors of 1022 and 1030. First we will calculate the prime factors of 1022 and 1030.

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 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 1022 and 1030.

LCM(1022,1030) = 21×51×71×731×1031
LCM(1022,1030) = 526330

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 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 1022 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 1022 and 1030, than apply into the LCM equation.

GCF(1022,1030) = 2
LCM(1022,1030) = ( 1022 × 1030) / 2
LCM(1022,1030) = 1052660 / 2
LCM(1022,1030) = 526330

Properties of LCM 1022 and 1030

(i) The LCM of 1030 and 1022 is associative

LCM of 1022 and 1030 = LCM of 1030 and 1022

Related Least Common Multiples of 1022

Related Least Common Multiples of 1030

Frequently Asked Questions on LCM of 1022 and 1030

1. What is the LCM of 1022 and 1030?

Answer: LCM of 1022 and 1030 is 526330.

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 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 1022 and 1030?

Answer:

Least Common Multiple of 1022 and 1030 = 526330

Step 1: Find the prime factorization of 1022

1022 = 2 x 7 x 73

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 = 526330 = 2 x 5 x 7 x 73 x 103

Step 4: Therefore, the least common multiple of 1022 and 1030 is 526330.