Least Common Multiple of 8024 and 8029

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8024 and 8029 the smallest integer that is 64424696 that is divisible by both numbers.

Least Common Multiple (LCM) of 8024 and 8029 is 64424696.

LCM(8024,8029) = 64424696

LCM of 8024 and 8029

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

LCM of:
and

Least Common Multiple of 8024 and 8029

LCM of 8024 and 8029 is 64424696

Least common multiple can be found by multiplying the highest exponent prime factors of 8024 and 8029. First we will calculate the prime factors of 8024 and 8029.

Prime Factorization of 8024


2 8024
2 4012
2 2006
17 1003
59 59
1

Prime factors of 8024 are 2, 17,59. Prime factorization of 8024 in exponential form is:

8024 = 23×171×591

Prime Factorization of 8029


7 8029
31 1147
37 37
1

Prime factors of 8029 are 7, 31,37. Prime factorization of 8029 in exponential form is:

8029 = 71×311×371

Now multiplying the highest exponent prime factors to calculate the LCM of 8024 and 8029.

LCM(8024,8029) = 23×71×171×311×371×591
LCM(8024,8029) = 64424696

Factors of 8024

List of positive integer factors of 8024 that divides 8024 without a remainder.

1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024

Factors of 8029

List of positive integer factors of 8029 that divides 8029 without a remainder.

1, 7, 31, 37, 217, 259, 1147, 8029

Least Common Multiple of 8024 and 8029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8024 and 8029, than apply into the LCM equation.

GCF(8024,8029) = 1
LCM(8024,8029) = ( 8024 × 8029) / 1
LCM(8024,8029) = 64424696 / 1
LCM(8024,8029) = 64424696

Properties of LCM 8024 and 8029

(i) The LCM of 8029 and 8024 is associative

LCM of 8024 and 8029 = LCM of 8029 and 8024

Related Least Common Multiples of 8024

Related Least Common Multiples of 8029

Frequently Asked Questions on LCM of 8024 and 8029

1. What is the LCM of 8024 and 8029?

Answer: LCM of 8024 and 8029 is 64424696.

2. What are the Factors of 8024?

Answer: Factors of 8024 are 1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024. There are 16 integers that are factors of 8024. The greatest factor of 8024 is 8024.

3. What are the Factors of 8029?

Answer: Factors of 8029 are 1, 7, 31, 37, 217, 259, 1147, 8029. There are 8 integers that are factors of 8029. The greatest factor of 8029 is 8029.

4. How to Find the LCM of 8024 and 8029?

Answer:

Least Common Multiple of 8024 and 8029 = 64424696

Step 1: Find the prime factorization of 8024

8024 = 2 x 2 x 2 x 17 x 59

Step 2: Find the prime factorization of 8029

8029 = 7 x 31 x 37

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

LCM = 64424696 = 2 x 2 x 2 x 7 x 17 x 31 x 37 x 59

Step 4: Therefore, the least common multiple of 8024 and 8029 is 64424696.