Least Common Multiple of 4024 and 4031

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4024 and 4031 the smallest integer that is 16220744 that is divisible by both numbers.

Least Common Multiple (LCM) of 4024 and 4031 is 16220744.

LCM(4024,4031) = 16220744

LCM of 4024 and 4031

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

LCM of:
and

Least Common Multiple of 4024 and 4031

LCM of 4024 and 4031 is 16220744

Least common multiple can be found by multiplying the highest exponent prime factors of 4024 and 4031. First we will calculate the prime factors of 4024 and 4031.

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

Prime Factorization of 4031


29 4031
139 139
1

Prime factors of 4031 are 29,139. Prime factorization of 4031 in exponential form is:

4031 = 291×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 4024 and 4031.

LCM(4024,4031) = 23×291×1391×5031
LCM(4024,4031) = 16220744

Factors of 4024

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

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

Factors of 4031

List of positive integer factors of 4031 that divides 4031 without a remainder.

1, 29, 139, 4031

Least Common Multiple of 4024 and 4031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4024 and 4031, than apply into the LCM equation.

GCF(4024,4031) = 1
LCM(4024,4031) = ( 4024 × 4031) / 1
LCM(4024,4031) = 16220744 / 1
LCM(4024,4031) = 16220744

Properties of LCM 4024 and 4031

(i) The LCM of 4031 and 4024 is associative

LCM of 4024 and 4031 = LCM of 4031 and 4024

Related Least Common Multiples of 4024

Related Least Common Multiples of 4031

Frequently Asked Questions on LCM of 4024 and 4031

1. What is the LCM of 4024 and 4031?

Answer: LCM of 4024 and 4031 is 16220744.

2. 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.

3. What are the Factors of 4031?

Answer: Factors of 4031 are 1, 29, 139, 4031. There are 4 integers that are factors of 4031. The greatest factor of 4031 is 4031.

4. How to Find the LCM of 4024 and 4031?

Answer:

Least Common Multiple of 4024 and 4031 = 16220744

Step 1: Find the prime factorization of 4024

4024 = 2 x 2 x 2 x 503

Step 2: Find the prime factorization of 4031

4031 = 29 x 139

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

LCM = 16220744 = 2 x 2 x 2 x 29 x 139 x 503

Step 4: Therefore, the least common multiple of 4024 and 4031 is 16220744.