Least Common Multiple of 2022 and 2030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2022 and 2030 the smallest integer that is 2052330 that is divisible by both numbers.

Least Common Multiple (LCM) of 2022 and 2030 is 2052330.

LCM(2022,2030) = 2052330

LCM of 2022 and 2030

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

LCM of:
and

Least Common Multiple of 2022 and 2030

LCM of 2022 and 2030 is 2052330

Least common multiple can be found by multiplying the highest exponent prime factors of 2022 and 2030. First we will calculate the prime factors of 2022 and 2030.

Prime Factorization of 2022


2 2022
3 1011
337 337
1

Prime factors of 2022 are 2, 3,337. Prime factorization of 2022 in exponential form is:

2022 = 21×31×3371

Prime Factorization of 2030


2 2030
5 1015
7 203
29 29
1

Prime factors of 2030 are 2, 5, 7,29. Prime factorization of 2030 in exponential form is:

2030 = 21×51×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2022 and 2030.

LCM(2022,2030) = 21×31×51×71×291×3371
LCM(2022,2030) = 2052330

Factors of 2022

List of positive integer factors of 2022 that divides 2022 without a remainder.

1, 2, 3, 6, 337, 674, 1011, 2022

Factors of 2030

List of positive integer factors of 2030 that divides 2030 without a remainder.

1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015, 2030

Least Common Multiple of 2022 and 2030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2022 and 2030, than apply into the LCM equation.

GCF(2022,2030) = 2
LCM(2022,2030) = ( 2022 × 2030) / 2
LCM(2022,2030) = 4104660 / 2
LCM(2022,2030) = 2052330

Properties of LCM 2022 and 2030

(i) The LCM of 2030 and 2022 is associative

LCM of 2022 and 2030 = LCM of 2030 and 2022

Related Least Common Multiples of 2022

Related Least Common Multiples of 2030

Frequently Asked Questions on LCM of 2022 and 2030

1. What is the LCM of 2022 and 2030?

Answer: LCM of 2022 and 2030 is 2052330.

2. What are the Factors of 2022?

Answer: Factors of 2022 are 1, 2, 3, 6, 337, 674, 1011, 2022. There are 8 integers that are factors of 2022. The greatest factor of 2022 is 2022.

3. What are the Factors of 2030?

Answer: Factors of 2030 are 1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015, 2030. There are 16 integers that are factors of 2030. The greatest factor of 2030 is 2030.

4. How to Find the LCM of 2022 and 2030?

Answer:

Least Common Multiple of 2022 and 2030 = 2052330

Step 1: Find the prime factorization of 2022

2022 = 2 x 3 x 337

Step 2: Find the prime factorization of 2030

2030 = 2 x 5 x 7 x 29

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

LCM = 2052330 = 2 x 3 x 5 x 7 x 29 x 337

Step 4: Therefore, the least common multiple of 2022 and 2030 is 2052330.