Least Common Multiple of 4016 and 4024

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 4024 the smallest integer that is 2020048 that is divisible by both numbers.

Least Common Multiple (LCM) of 4016 and 4024 is 2020048.

LCM(4016,4024) = 2020048

LCM of 4016 and 4024

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

LCM of:
and

Least Common Multiple of 4016 and 4024

LCM of 4016 and 4024 is 2020048

Least common multiple can be found by multiplying the highest exponent prime factors of 4016 and 4024. First we will calculate the prime factors of 4016 and 4024.

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 4024


2 4024
2 2012
2 1006
503 503
1

Prime factors of 4024 are 2,503. Prime factorization of 4024 in exponential form is:

4024 = 23×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 4016 and 4024.

LCM(4016,4024) = 24×2511×5031
LCM(4016,4024) = 2020048

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 4024

List of positive integer factors of 4024 that divides 4024 without a remainder.

1, 2, 4, 8, 503, 1006, 2012, 4024

Least Common Multiple of 4016 and 4024 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 4024, than apply into the LCM equation.

GCF(4016,4024) = 8
LCM(4016,4024) = ( 4016 × 4024) / 8
LCM(4016,4024) = 16160384 / 8
LCM(4016,4024) = 2020048

Properties of LCM 4016 and 4024

(i) The LCM of 4024 and 4016 is associative

LCM of 4016 and 4024 = LCM of 4024 and 4016

Related Least Common Multiples of 4016

Related Least Common Multiples of 4024

Frequently Asked Questions on LCM of 4016 and 4024

1. What is the LCM of 4016 and 4024?

Answer: LCM of 4016 and 4024 is 2020048.

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 4024?

Answer: Factors of 4024 are 1, 2, 4, 8, 503, 1006, 2012, 4024. There are 8 integers that are factors of 4024. The greatest factor of 4024 is 4024.

4. How to Find the LCM of 4016 and 4024?

Answer:

Least Common Multiple of 4016 and 4024 = 2020048

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 4024

4024 = 2 x 2 x 2 x 503

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

LCM = 2020048 = 2 x 2 x 2 x 2 x 251 x 503

Step 4: Therefore, the least common multiple of 4016 and 4024 is 2020048.