Least Common Multiple of 4022 and 4029

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4022 and 4029 the smallest integer that is 16204638 that is divisible by both numbers.

Least Common Multiple (LCM) of 4022 and 4029 is 16204638.

LCM(4022,4029) = 16204638

LCM of 4022 and 4029

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

LCM of:
and

Least Common Multiple of 4022 and 4029

LCM of 4022 and 4029 is 16204638

Least common multiple can be found by multiplying the highest exponent prime factors of 4022 and 4029. First we will calculate the prime factors of 4022 and 4029.

Prime Factorization of 4022


2 4022
2011 2011
1

Prime factors of 4022 are 2,2011. Prime factorization of 4022 in exponential form is:

4022 = 21×20111

Prime Factorization of 4029


3 4029
17 1343
79 79
1

Prime factors of 4029 are 3, 17,79. Prime factorization of 4029 in exponential form is:

4029 = 31×171×791

Now multiplying the highest exponent prime factors to calculate the LCM of 4022 and 4029.

LCM(4022,4029) = 21×31×171×791×20111
LCM(4022,4029) = 16204638

Factors of 4022

List of positive integer factors of 4022 that divides 4022 without a remainder.

1, 2, 2011, 4022

Factors of 4029

List of positive integer factors of 4029 that divides 4029 without a remainder.

1, 3, 17, 51, 79, 237, 1343, 4029

Least Common Multiple of 4022 and 4029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4022 and 4029, than apply into the LCM equation.

GCF(4022,4029) = 1
LCM(4022,4029) = ( 4022 × 4029) / 1
LCM(4022,4029) = 16204638 / 1
LCM(4022,4029) = 16204638

Properties of LCM 4022 and 4029

(i) The LCM of 4029 and 4022 is associative

LCM of 4022 and 4029 = LCM of 4029 and 4022

Related Least Common Multiples of 4022

Related Least Common Multiples of 4029

Frequently Asked Questions on LCM of 4022 and 4029

1. What is the LCM of 4022 and 4029?

Answer: LCM of 4022 and 4029 is 16204638.

2. What are the Factors of 4022?

Answer: Factors of 4022 are 1, 2, 2011, 4022. There are 4 integers that are factors of 4022. The greatest factor of 4022 is 4022.

3. What are the Factors of 4029?

Answer: Factors of 4029 are 1, 3, 17, 51, 79, 237, 1343, 4029. There are 8 integers that are factors of 4029. The greatest factor of 4029 is 4029.

4. How to Find the LCM of 4022 and 4029?

Answer:

Least Common Multiple of 4022 and 4029 = 16204638

Step 1: Find the prime factorization of 4022

4022 = 2 x 2011

Step 2: Find the prime factorization of 4029

4029 = 3 x 17 x 79

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

LCM = 16204638 = 2 x 3 x 17 x 79 x 2011

Step 4: Therefore, the least common multiple of 4022 and 4029 is 16204638.