Least Common Multiple of 1022 and 1026

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 1026 the smallest integer that is 524286 that is divisible by both numbers.

Least Common Multiple (LCM) of 1022 and 1026 is 524286.

LCM(1022,1026) = 524286

LCM of 1022 and 1026

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

LCM of:
and

Least Common Multiple of 1022 and 1026

LCM of 1022 and 1026 is 524286

Least common multiple can be found by multiplying the highest exponent prime factors of 1022 and 1026. First we will calculate the prime factors of 1022 and 1026.

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 1026


2 1026
3 513
3 171
3 57
19 19
1

Prime factors of 1026 are 2, 3,19. Prime factorization of 1026 in exponential form is:

1026 = 21×33×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1022 and 1026.

LCM(1022,1026) = 21×33×71×191×731
LCM(1022,1026) = 524286

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 1026

List of positive integer factors of 1026 that divides 1026 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 513, 1026

Least Common Multiple of 1022 and 1026 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 1026, than apply into the LCM equation.

GCF(1022,1026) = 2
LCM(1022,1026) = ( 1022 × 1026) / 2
LCM(1022,1026) = 1048572 / 2
LCM(1022,1026) = 524286

Properties of LCM 1022 and 1026

(i) The LCM of 1026 and 1022 is associative

LCM of 1022 and 1026 = LCM of 1026 and 1022

Related Least Common Multiples of 1022

Related Least Common Multiples of 1026

Frequently Asked Questions on LCM of 1022 and 1026

1. What is the LCM of 1022 and 1026?

Answer: LCM of 1022 and 1026 is 524286.

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 1026?

Answer: Factors of 1026 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 513, 1026. There are 16 integers that are factors of 1026. The greatest factor of 1026 is 1026.

4. How to Find the LCM of 1022 and 1026?

Answer:

Least Common Multiple of 1022 and 1026 = 524286

Step 1: Find the prime factorization of 1022

1022 = 2 x 7 x 73

Step 2: Find the prime factorization of 1026

1026 = 2 x 3 x 3 x 3 x 19

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

LCM = 524286 = 2 x 3 x 3 x 3 x 7 x 19 x 73

Step 4: Therefore, the least common multiple of 1022 and 1026 is 524286.