Least Common Multiple of 1021 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 1021 and 1026 the smallest integer that is 1047546 that is divisible by both numbers.

Least Common Multiple (LCM) of 1021 and 1026 is 1047546.

LCM(1021,1026) = 1047546

LCM of 1021 and 1026

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

LCM of:
and

Least Common Multiple of 1021 and 1026

LCM of 1021 and 1026 is 1047546

Least common multiple can be found by multiplying the highest exponent prime factors of 1021 and 1026. First we will calculate the prime factors of 1021 and 1026.

Prime Factorization of 1021


1021 1021
1

Prime factors of 1021 are 1021. Prime factorization of 1021 in exponential form is:

1021 = 10211

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 1021 and 1026.

LCM(1021,1026) = 21×33×191×10211
LCM(1021,1026) = 1047546

Factors of 1021

List of positive integer factors of 1021 that divides 1021 without a remainder.

1, 1021

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 1021 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 1021 and 1026, than apply into the LCM equation.

GCF(1021,1026) = 1
LCM(1021,1026) = ( 1021 × 1026) / 1
LCM(1021,1026) = 1047546 / 1
LCM(1021,1026) = 1047546

Properties of LCM 1021 and 1026

(i) The LCM of 1026 and 1021 is associative

LCM of 1021 and 1026 = LCM of 1026 and 1021

Related Least Common Multiples of 1021

Related Least Common Multiples of 1026

Frequently Asked Questions on LCM of 1021 and 1026

1. What is the LCM of 1021 and 1026?

Answer: LCM of 1021 and 1026 is 1047546.

2. What are the Factors of 1021?

Answer: Factors of 1021 are 1, 1021. There are 2 integers that are factors of 1021. The greatest factor of 1021 is 1021.

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 1021 and 1026?

Answer:

Least Common Multiple of 1021 and 1026 = 1047546

Step 1: Find the prime factorization of 1021

1021 = 1021

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 = 1047546 = 2 x 3 x 3 x 3 x 19 x 1021

Step 4: Therefore, the least common multiple of 1021 and 1026 is 1047546.