Least Common Multiple of 1020 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 1020 and 1026 the smallest integer that is 174420 that is divisible by both numbers.

Least Common Multiple (LCM) of 1020 and 1026 is 174420.

LCM(1020,1026) = 174420

LCM of 1020 and 1026

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

LCM of:
and

Least Common Multiple of 1020 and 1026

LCM of 1020 and 1026 is 174420

Least common multiple can be found by multiplying the highest exponent prime factors of 1020 and 1026. First we will calculate the prime factors of 1020 and 1026.

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 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 1020 and 1026.

LCM(1020,1026) = 22×33×51×171×191
LCM(1020,1026) = 174420

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 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 1020 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 1020 and 1026, than apply into the LCM equation.

GCF(1020,1026) = 6
LCM(1020,1026) = ( 1020 × 1026) / 6
LCM(1020,1026) = 1046520 / 6
LCM(1020,1026) = 174420

Properties of LCM 1020 and 1026

(i) The LCM of 1026 and 1020 is associative

LCM of 1020 and 1026 = LCM of 1026 and 1020

Related Least Common Multiples of 1020

Related Least Common Multiples of 1026

Frequently Asked Questions on LCM of 1020 and 1026

1. What is the LCM of 1020 and 1026?

Answer: LCM of 1020 and 1026 is 174420.

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 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 1020 and 1026?

Answer:

Least Common Multiple of 1020 and 1026 = 174420

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 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 = 174420 = 2 x 2 x 3 x 3 x 3 x 5 x 17 x 19

Step 4: Therefore, the least common multiple of 1020 and 1026 is 174420.