Least Common Multiple of 8024 and 8032

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 8032 the smallest integer that is 8056096 that is divisible by both numbers.

Least Common Multiple (LCM) of 8024 and 8032 is 8056096.

LCM(8024,8032) = 8056096

LCM of 8024 and 8032

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

LCM of:
and

Least Common Multiple of 8024 and 8032

LCM of 8024 and 8032 is 8056096

Least common multiple can be found by multiplying the highest exponent prime factors of 8024 and 8032. First we will calculate the prime factors of 8024 and 8032.

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 8032


2 8032
2 4016
2 2008
2 1004
2 502
251 251
1

Prime factors of 8032 are 2,251. Prime factorization of 8032 in exponential form is:

8032 = 25×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 8024 and 8032.

LCM(8024,8032) = 25×171×591×2511
LCM(8024,8032) = 8056096

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 8032

List of positive integer factors of 8032 that divides 8032 without a remainder.

1, 2, 4, 8, 16, 32, 251, 502, 1004, 2008, 4016, 8032

Least Common Multiple of 8024 and 8032 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 8032, than apply into the LCM equation.

GCF(8024,8032) = 8
LCM(8024,8032) = ( 8024 × 8032) / 8
LCM(8024,8032) = 64448768 / 8
LCM(8024,8032) = 8056096

Properties of LCM 8024 and 8032

(i) The LCM of 8032 and 8024 is associative

LCM of 8024 and 8032 = LCM of 8032 and 8024

Related Least Common Multiples of 8024

Related Least Common Multiples of 8032

Frequently Asked Questions on LCM of 8024 and 8032

1. What is the LCM of 8024 and 8032?

Answer: LCM of 8024 and 8032 is 8056096.

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 8032?

Answer: Factors of 8032 are 1, 2, 4, 8, 16, 32, 251, 502, 1004, 2008, 4016, 8032. There are 12 integers that are factors of 8032. The greatest factor of 8032 is 8032.

4. How to Find the LCM of 8024 and 8032?

Answer:

Least Common Multiple of 8024 and 8032 = 8056096

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 8032

8032 = 2 x 2 x 2 x 2 x 2 x 251

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

LCM = 8056096 = 2 x 2 x 2 x 2 x 2 x 17 x 59 x 251

Step 4: Therefore, the least common multiple of 8024 and 8032 is 8056096.