Least Common Multiple of 4022 and 4030

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 4030 the smallest integer that is 8104330 that is divisible by both numbers.

Least Common Multiple (LCM) of 4022 and 4030 is 8104330.

LCM(4022,4030) = 8104330

LCM of 4022 and 4030

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

LCM of:
and

Least Common Multiple of 4022 and 4030

LCM of 4022 and 4030 is 8104330

Least common multiple can be found by multiplying the highest exponent prime factors of 4022 and 4030. First we will calculate the prime factors of 4022 and 4030.

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 4030


2 4030
5 2015
13 403
31 31
1

Prime factors of 4030 are 2, 5, 13,31. Prime factorization of 4030 in exponential form is:

4030 = 21×51×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4022 and 4030.

LCM(4022,4030) = 21×51×131×311×20111
LCM(4022,4030) = 8104330

Factors of 4022

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

1, 2, 2011, 4022

Factors of 4030

List of positive integer factors of 4030 that divides 4030 without a remainder.

1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 4030

Least Common Multiple of 4022 and 4030 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 4030, than apply into the LCM equation.

GCF(4022,4030) = 2
LCM(4022,4030) = ( 4022 × 4030) / 2
LCM(4022,4030) = 16208660 / 2
LCM(4022,4030) = 8104330

Properties of LCM 4022 and 4030

(i) The LCM of 4030 and 4022 is associative

LCM of 4022 and 4030 = LCM of 4030 and 4022

Related Least Common Multiples of 4022

Related Least Common Multiples of 4030

Frequently Asked Questions on LCM of 4022 and 4030

1. What is the LCM of 4022 and 4030?

Answer: LCM of 4022 and 4030 is 8104330.

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 4030?

Answer: Factors of 4030 are 1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 4030. There are 16 integers that are factors of 4030. The greatest factor of 4030 is 4030.

4. How to Find the LCM of 4022 and 4030?

Answer:

Least Common Multiple of 4022 and 4030 = 8104330

Step 1: Find the prime factorization of 4022

4022 = 2 x 2011

Step 2: Find the prime factorization of 4030

4030 = 2 x 5 x 13 x 31

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

LCM = 8104330 = 2 x 5 x 13 x 31 x 2011

Step 4: Therefore, the least common multiple of 4022 and 4030 is 8104330.