Least Common Multiple of 1021 and 1022

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 1022 the smallest integer that is 1043462 that is divisible by both numbers.

Least Common Multiple (LCM) of 1021 and 1022 is 1043462.

LCM(1021,1022) = 1043462

LCM of 1021 and 1022

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

LCM of:
and

Least Common Multiple of 1021 and 1022

LCM of 1021 and 1022 is 1043462

Least common multiple can be found by multiplying the highest exponent prime factors of 1021 and 1022. First we will calculate the prime factors of 1021 and 1022.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1021 and 1022.

LCM(1021,1022) = 21×71×731×10211
LCM(1021,1022) = 1043462

Factors of 1021

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

1, 1021

Factors of 1022

List of positive integer factors of 1022 that divides 1022 without a remainder.

1, 2, 7, 14, 73, 146, 511, 1022

Least Common Multiple of 1021 and 1022 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 1022, than apply into the LCM equation.

GCF(1021,1022) = 1
LCM(1021,1022) = ( 1021 × 1022) / 1
LCM(1021,1022) = 1043462 / 1
LCM(1021,1022) = 1043462

Properties of LCM 1021 and 1022

(i) The LCM of 1022 and 1021 is associative

LCM of 1021 and 1022 = LCM of 1022 and 1021

Related Least Common Multiples of 1021

Related Least Common Multiples of 1022

Frequently Asked Questions on LCM of 1021 and 1022

1. What is the LCM of 1021 and 1022?

Answer: LCM of 1021 and 1022 is 1043462.

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 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.

4. How to Find the LCM of 1021 and 1022?

Answer:

Least Common Multiple of 1021 and 1022 = 1043462

Step 1: Find the prime factorization of 1021

1021 = 1021

Step 2: Find the prime factorization of 1022

1022 = 2 x 7 x 73

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

LCM = 1043462 = 2 x 7 x 73 x 1021

Step 4: Therefore, the least common multiple of 1021 and 1022 is 1043462.