Least Common Multiple of 4022 and 4028

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 4028 the smallest integer that is 8100308 that is divisible by both numbers.

Least Common Multiple (LCM) of 4022 and 4028 is 8100308.

LCM(4022,4028) = 8100308

LCM of 4022 and 4028

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

LCM of:
and

Least Common Multiple of 4022 and 4028

LCM of 4022 and 4028 is 8100308

Least common multiple can be found by multiplying the highest exponent prime factors of 4022 and 4028. First we will calculate the prime factors of 4022 and 4028.

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 4028


2 4028
2 2014
19 1007
53 53
1

Prime factors of 4028 are 2, 19,53. Prime factorization of 4028 in exponential form is:

4028 = 22×191×531

Now multiplying the highest exponent prime factors to calculate the LCM of 4022 and 4028.

LCM(4022,4028) = 22×191×531×20111
LCM(4022,4028) = 8100308

Factors of 4022

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

1, 2, 2011, 4022

Factors of 4028

List of positive integer factors of 4028 that divides 4028 without a remainder.

1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028

Least Common Multiple of 4022 and 4028 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 4028, than apply into the LCM equation.

GCF(4022,4028) = 2
LCM(4022,4028) = ( 4022 × 4028) / 2
LCM(4022,4028) = 16200616 / 2
LCM(4022,4028) = 8100308

Properties of LCM 4022 and 4028

(i) The LCM of 4028 and 4022 is associative

LCM of 4022 and 4028 = LCM of 4028 and 4022

Related Least Common Multiples of 4022

Related Least Common Multiples of 4028

Frequently Asked Questions on LCM of 4022 and 4028

1. What is the LCM of 4022 and 4028?

Answer: LCM of 4022 and 4028 is 8100308.

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 4028?

Answer: Factors of 4028 are 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028. There are 12 integers that are factors of 4028. The greatest factor of 4028 is 4028.

4. How to Find the LCM of 4022 and 4028?

Answer:

Least Common Multiple of 4022 and 4028 = 8100308

Step 1: Find the prime factorization of 4022

4022 = 2 x 2011

Step 2: Find the prime factorization of 4028

4028 = 2 x 2 x 19 x 53

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

LCM = 8100308 = 2 x 2 x 19 x 53 x 2011

Step 4: Therefore, the least common multiple of 4022 and 4028 is 8100308.