Least Common Multiple of 4019 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 4019 and 4024 the smallest integer that is 16172456 that is divisible by both numbers.

Least Common Multiple (LCM) of 4019 and 4024 is 16172456.

LCM(4019,4024) = 16172456

LCM of 4019 and 4024

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

LCM of:
and

Least Common Multiple of 4019 and 4024

LCM of 4019 and 4024 is 16172456

Least common multiple can be found by multiplying the highest exponent prime factors of 4019 and 4024. First we will calculate the prime factors of 4019 and 4024.

Prime Factorization of 4019


4019 4019
1

Prime factors of 4019 are 4019. Prime factorization of 4019 in exponential form is:

4019 = 40191

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 4019 and 4024.

LCM(4019,4024) = 23×5031×40191
LCM(4019,4024) = 16172456

Factors of 4019

List of positive integer factors of 4019 that divides 4019 without a remainder.

1, 4019

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 4019 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 4019 and 4024, than apply into the LCM equation.

GCF(4019,4024) = 1
LCM(4019,4024) = ( 4019 × 4024) / 1
LCM(4019,4024) = 16172456 / 1
LCM(4019,4024) = 16172456

Properties of LCM 4019 and 4024

(i) The LCM of 4024 and 4019 is associative

LCM of 4019 and 4024 = LCM of 4024 and 4019

Related Least Common Multiples of 4019

Related Least Common Multiples of 4024

Frequently Asked Questions on LCM of 4019 and 4024

1. What is the LCM of 4019 and 4024?

Answer: LCM of 4019 and 4024 is 16172456.

2. What are the Factors of 4019?

Answer: Factors of 4019 are 1, 4019. There are 2 integers that are factors of 4019. The greatest factor of 4019 is 4019.

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 4019 and 4024?

Answer:

Least Common Multiple of 4019 and 4024 = 16172456

Step 1: Find the prime factorization of 4019

4019 = 4019

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 = 16172456 = 2 x 2 x 2 x 503 x 4019

Step 4: Therefore, the least common multiple of 4019 and 4024 is 16172456.