Least Common Multiple of 8019 and 8024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8019 and 8024 the smallest integer that is 64344456 that is divisible by both numbers.

Least Common Multiple (LCM) of 8019 and 8024 is 64344456.

LCM(8019,8024) = 64344456

LCM of 8019 and 8024

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

LCM of:
and

Least Common Multiple of 8019 and 8024

LCM of 8019 and 8024 is 64344456

Least common multiple can be found by multiplying the highest exponent prime factors of 8019 and 8024. First we will calculate the prime factors of 8019 and 8024.

Prime Factorization of 8019


3 8019
3 2673
3 891
3 297
3 99
3 33
11 11
1

Prime factors of 8019 are 3,11. Prime factorization of 8019 in exponential form is:

8019 = 36×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8019 and 8024.

LCM(8019,8024) = 23×36×111×171×591
LCM(8019,8024) = 64344456

Factors of 8019

List of positive integer factors of 8019 that divides 8019 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 729, 891, 2673, 8019

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

Least Common Multiple of 8019 and 8024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8019 and 8024, than apply into the LCM equation.

GCF(8019,8024) = 1
LCM(8019,8024) = ( 8019 × 8024) / 1
LCM(8019,8024) = 64344456 / 1
LCM(8019,8024) = 64344456

Properties of LCM 8019 and 8024

(i) The LCM of 8024 and 8019 is associative

LCM of 8019 and 8024 = LCM of 8024 and 8019

Related Least Common Multiples of 8019

Related Least Common Multiples of 8024

Frequently Asked Questions on LCM of 8019 and 8024

1. What is the LCM of 8019 and 8024?

Answer: LCM of 8019 and 8024 is 64344456.

2. What are the Factors of 8019?

Answer: Factors of 8019 are 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 729, 891, 2673, 8019. There are 14 integers that are factors of 8019. The greatest factor of 8019 is 8019.

3. 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.

4. How to Find the LCM of 8019 and 8024?

Answer:

Least Common Multiple of 8019 and 8024 = 64344456

Step 1: Find the prime factorization of 8019

8019 = 3 x 3 x 3 x 3 x 3 x 3 x 11

Step 2: Find the prime factorization of 8024

8024 = 2 x 2 x 2 x 17 x 59

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

LCM = 64344456 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 11 x 17 x 59

Step 4: Therefore, the least common multiple of 8019 and 8024 is 64344456.