Least Common Multiple of 8024 and 8031

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 8031 the smallest integer that is 64440744 that is divisible by both numbers.

Least Common Multiple (LCM) of 8024 and 8031 is 64440744.

LCM(8024,8031) = 64440744

LCM of 8024 and 8031

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

LCM of:
and

Least Common Multiple of 8024 and 8031

LCM of 8024 and 8031 is 64440744

Least common multiple can be found by multiplying the highest exponent prime factors of 8024 and 8031. First we will calculate the prime factors of 8024 and 8031.

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 8031


3 8031
2677 2677
1

Prime factors of 8031 are 3,2677. Prime factorization of 8031 in exponential form is:

8031 = 31×26771

Now multiplying the highest exponent prime factors to calculate the LCM of 8024 and 8031.

LCM(8024,8031) = 23×31×171×591×26771
LCM(8024,8031) = 64440744

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 8031

List of positive integer factors of 8031 that divides 8031 without a remainder.

1, 3, 2677, 8031

Least Common Multiple of 8024 and 8031 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 8031, than apply into the LCM equation.

GCF(8024,8031) = 1
LCM(8024,8031) = ( 8024 × 8031) / 1
LCM(8024,8031) = 64440744 / 1
LCM(8024,8031) = 64440744

Properties of LCM 8024 and 8031

(i) The LCM of 8031 and 8024 is associative

LCM of 8024 and 8031 = LCM of 8031 and 8024

Related Least Common Multiples of 8024

Related Least Common Multiples of 8031

Frequently Asked Questions on LCM of 8024 and 8031

1. What is the LCM of 8024 and 8031?

Answer: LCM of 8024 and 8031 is 64440744.

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 8031?

Answer: Factors of 8031 are 1, 3, 2677, 8031. There are 4 integers that are factors of 8031. The greatest factor of 8031 is 8031.

4. How to Find the LCM of 8024 and 8031?

Answer:

Least Common Multiple of 8024 and 8031 = 64440744

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 8031

8031 = 3 x 2677

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

LCM = 64440744 = 2 x 2 x 2 x 3 x 17 x 59 x 2677

Step 4: Therefore, the least common multiple of 8024 and 8031 is 64440744.