Least Common Multiple of 4024 and 4030

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 4030 the smallest integer that is 8108360 that is divisible by both numbers.

Least Common Multiple (LCM) of 4024 and 4030 is 8108360.

LCM(4024,4030) = 8108360

LCM of 4024 and 4030

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

LCM of:
and

Least Common Multiple of 4024 and 4030

LCM of 4024 and 4030 is 8108360

Least common multiple can be found by multiplying the highest exponent prime factors of 4024 and 4030. First we will calculate the prime factors of 4024 and 4030.

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 4030


2 4030
5 2015
13 403
31 31
1

Prime factors of 4030 are 2, 5, 13,31. Prime factorization of 4030 in exponential form is:

4030 = 21×51×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4024 and 4030.

LCM(4024,4030) = 23×51×131×311×5031
LCM(4024,4030) = 8108360

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 4030

List of positive integer factors of 4030 that divides 4030 without a remainder.

1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 4030

Least Common Multiple of 4024 and 4030 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 4030, than apply into the LCM equation.

GCF(4024,4030) = 2
LCM(4024,4030) = ( 4024 × 4030) / 2
LCM(4024,4030) = 16216720 / 2
LCM(4024,4030) = 8108360

Properties of LCM 4024 and 4030

(i) The LCM of 4030 and 4024 is associative

LCM of 4024 and 4030 = LCM of 4030 and 4024

Related Least Common Multiples of 4024

Related Least Common Multiples of 4030

Frequently Asked Questions on LCM of 4024 and 4030

1. What is the LCM of 4024 and 4030?

Answer: LCM of 4024 and 4030 is 8108360.

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 4030?

Answer: Factors of 4030 are 1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 4030. There are 16 integers that are factors of 4030. The greatest factor of 4030 is 4030.

4. How to Find the LCM of 4024 and 4030?

Answer:

Least Common Multiple of 4024 and 4030 = 8108360

Step 1: Find the prime factorization of 4024

4024 = 2 x 2 x 2 x 503

Step 2: Find the prime factorization of 4030

4030 = 2 x 5 x 13 x 31

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

LCM = 8108360 = 2 x 2 x 2 x 5 x 13 x 31 x 503

Step 4: Therefore, the least common multiple of 4024 and 4030 is 8108360.