Least Common Multiple of 8019 and 8026

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 8026 the smallest integer that is 64360494 that is divisible by both numbers.

Least Common Multiple (LCM) of 8019 and 8026 is 64360494.

LCM(8019,8026) = 64360494

LCM of 8019 and 8026

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

LCM of:
and

Least Common Multiple of 8019 and 8026

LCM of 8019 and 8026 is 64360494

Least common multiple can be found by multiplying the highest exponent prime factors of 8019 and 8026. First we will calculate the prime factors of 8019 and 8026.

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 8026


2 8026
4013 4013
1

Prime factors of 8026 are 2,4013. Prime factorization of 8026 in exponential form is:

8026 = 21×40131

Now multiplying the highest exponent prime factors to calculate the LCM of 8019 and 8026.

LCM(8019,8026) = 21×36×111×40131
LCM(8019,8026) = 64360494

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 8026

List of positive integer factors of 8026 that divides 8026 without a remainder.

1, 2, 4013, 8026

Least Common Multiple of 8019 and 8026 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 8026, than apply into the LCM equation.

GCF(8019,8026) = 1
LCM(8019,8026) = ( 8019 × 8026) / 1
LCM(8019,8026) = 64360494 / 1
LCM(8019,8026) = 64360494

Properties of LCM 8019 and 8026

(i) The LCM of 8026 and 8019 is associative

LCM of 8019 and 8026 = LCM of 8026 and 8019

Related Least Common Multiples of 8019

Related Least Common Multiples of 8026

Frequently Asked Questions on LCM of 8019 and 8026

1. What is the LCM of 8019 and 8026?

Answer: LCM of 8019 and 8026 is 64360494.

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 8026?

Answer: Factors of 8026 are 1, 2, 4013, 8026. There are 4 integers that are factors of 8026. The greatest factor of 8026 is 8026.

4. How to Find the LCM of 8019 and 8026?

Answer:

Least Common Multiple of 8019 and 8026 = 64360494

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 8026

8026 = 2 x 4013

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

LCM = 64360494 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 11 x 4013

Step 4: Therefore, the least common multiple of 8019 and 8026 is 64360494.