Least Common Multiple of 4016 and 4022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4016 and 4022 the smallest integer that is 8076176 that is divisible by both numbers.

Least Common Multiple (LCM) of 4016 and 4022 is 8076176.

LCM(4016,4022) = 8076176

LCM of 4016 and 4022

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

LCM of:
and

Least Common Multiple of 4016 and 4022

LCM of 4016 and 4022 is 8076176

Least common multiple can be found by multiplying the highest exponent prime factors of 4016 and 4022. First we will calculate the prime factors of 4016 and 4022.

Prime Factorization of 4016


2 4016
2 2008
2 1004
2 502
251 251
1

Prime factors of 4016 are 2,251. Prime factorization of 4016 in exponential form is:

4016 = 24×2511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4016 and 4022.

LCM(4016,4022) = 24×2511×20111
LCM(4016,4022) = 8076176

Factors of 4016

List of positive integer factors of 4016 that divides 4016 without a remainder.

1, 2, 4, 8, 16, 251, 502, 1004, 2008, 4016

Factors of 4022

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

1, 2, 2011, 4022

Least Common Multiple of 4016 and 4022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4016 and 4022, than apply into the LCM equation.

GCF(4016,4022) = 2
LCM(4016,4022) = ( 4016 × 4022) / 2
LCM(4016,4022) = 16152352 / 2
LCM(4016,4022) = 8076176

Properties of LCM 4016 and 4022

(i) The LCM of 4022 and 4016 is associative

LCM of 4016 and 4022 = LCM of 4022 and 4016

Related Least Common Multiples of 4016

Related Least Common Multiples of 4022

Frequently Asked Questions on LCM of 4016 and 4022

1. What is the LCM of 4016 and 4022?

Answer: LCM of 4016 and 4022 is 8076176.

2. What are the Factors of 4016?

Answer: Factors of 4016 are 1, 2, 4, 8, 16, 251, 502, 1004, 2008, 4016. There are 10 integers that are factors of 4016. The greatest factor of 4016 is 4016.

3. 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.

4. How to Find the LCM of 4016 and 4022?

Answer:

Least Common Multiple of 4016 and 4022 = 8076176

Step 1: Find the prime factorization of 4016

4016 = 2 x 2 x 2 x 2 x 251

Step 2: Find the prime factorization of 4022

4022 = 2 x 2011

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

LCM = 8076176 = 2 x 2 x 2 x 2 x 251 x 2011

Step 4: Therefore, the least common multiple of 4016 and 4022 is 8076176.