Least Common Multiple of 4022 and 4027

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 4027 the smallest integer that is 16196594 that is divisible by both numbers.

Least Common Multiple (LCM) of 4022 and 4027 is 16196594.

LCM(4022,4027) = 16196594

LCM of 4022 and 4027

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

LCM of:
and

Least Common Multiple of 4022 and 4027

LCM of 4022 and 4027 is 16196594

Least common multiple can be found by multiplying the highest exponent prime factors of 4022 and 4027. First we will calculate the prime factors of 4022 and 4027.

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 4027


4027 4027
1

Prime factors of 4027 are 4027. Prime factorization of 4027 in exponential form is:

4027 = 40271

Now multiplying the highest exponent prime factors to calculate the LCM of 4022 and 4027.

LCM(4022,4027) = 21×20111×40271
LCM(4022,4027) = 16196594

Factors of 4022

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

1, 2, 2011, 4022

Factors of 4027

List of positive integer factors of 4027 that divides 4027 without a remainder.

1, 4027

Least Common Multiple of 4022 and 4027 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 4027, than apply into the LCM equation.

GCF(4022,4027) = 1
LCM(4022,4027) = ( 4022 × 4027) / 1
LCM(4022,4027) = 16196594 / 1
LCM(4022,4027) = 16196594

Properties of LCM 4022 and 4027

(i) The LCM of 4027 and 4022 is associative

LCM of 4022 and 4027 = LCM of 4027 and 4022

Frequently Asked Questions on LCM of 4022 and 4027

1. What is the LCM of 4022 and 4027?

Answer: LCM of 4022 and 4027 is 16196594.

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 4027?

Answer: Factors of 4027 are 1, 4027. There are 2 integers that are factors of 4027. The greatest factor of 4027 is 4027.

4. How to Find the LCM of 4022 and 4027?

Answer:

Least Common Multiple of 4022 and 4027 = 16196594

Step 1: Find the prime factorization of 4022

4022 = 2 x 2011

Step 2: Find the prime factorization of 4027

4027 = 4027

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

LCM = 16196594 = 2 x 2011 x 4027

Step 4: Therefore, the least common multiple of 4022 and 4027 is 16196594.