Least Common Multiple of 2022 and 2029

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 2029 the smallest integer that is 4102638 that is divisible by both numbers.

Least Common Multiple (LCM) of 2022 and 2029 is 4102638.

LCM(2022,2029) = 4102638

LCM of 2022 and 2029

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

LCM of:
and

Least Common Multiple of 2022 and 2029

LCM of 2022 and 2029 is 4102638

Least common multiple can be found by multiplying the highest exponent prime factors of 2022 and 2029. First we will calculate the prime factors of 2022 and 2029.

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 2029


2029 2029
1

Prime factors of 2029 are 2029. Prime factorization of 2029 in exponential form is:

2029 = 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 2022 and 2029.

LCM(2022,2029) = 21×31×3371×20291
LCM(2022,2029) = 4102638

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 2029

List of positive integer factors of 2029 that divides 2029 without a remainder.

1, 2029

Least Common Multiple of 2022 and 2029 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 2029, than apply into the LCM equation.

GCF(2022,2029) = 1
LCM(2022,2029) = ( 2022 × 2029) / 1
LCM(2022,2029) = 4102638 / 1
LCM(2022,2029) = 4102638

Properties of LCM 2022 and 2029

(i) The LCM of 2029 and 2022 is associative

LCM of 2022 and 2029 = LCM of 2029 and 2022

Related Least Common Multiples of 2022

Related Least Common Multiples of 2029

Frequently Asked Questions on LCM of 2022 and 2029

1. What is the LCM of 2022 and 2029?

Answer: LCM of 2022 and 2029 is 4102638.

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 2029?

Answer: Factors of 2029 are 1, 2029. There are 2 integers that are factors of 2029. The greatest factor of 2029 is 2029.

4. How to Find the LCM of 2022 and 2029?

Answer:

Least Common Multiple of 2022 and 2029 = 4102638

Step 1: Find the prime factorization of 2022

2022 = 2 x 3 x 337

Step 2: Find the prime factorization of 2029

2029 = 2029

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

LCM = 4102638 = 2 x 3 x 337 x 2029

Step 4: Therefore, the least common multiple of 2022 and 2029 is 4102638.