Least Common Multiple of 8019 and 8027

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 8027 the smallest integer that is 64368513 that is divisible by both numbers.

Least Common Multiple (LCM) of 8019 and 8027 is 64368513.

LCM(8019,8027) = 64368513

LCM of 8019 and 8027

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

LCM of:
and

Least Common Multiple of 8019 and 8027

LCM of 8019 and 8027 is 64368513

Least common multiple can be found by multiplying the highest exponent prime factors of 8019 and 8027. First we will calculate the prime factors of 8019 and 8027.

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 8027


23 8027
349 349
1

Prime factors of 8027 are 23,349. Prime factorization of 8027 in exponential form is:

8027 = 231×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 8019 and 8027.

LCM(8019,8027) = 36×111×231×3491
LCM(8019,8027) = 64368513

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 8027

List of positive integer factors of 8027 that divides 8027 without a remainder.

1, 23, 349, 8027

Least Common Multiple of 8019 and 8027 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 8027, than apply into the LCM equation.

GCF(8019,8027) = 1
LCM(8019,8027) = ( 8019 × 8027) / 1
LCM(8019,8027) = 64368513 / 1
LCM(8019,8027) = 64368513

Properties of LCM 8019 and 8027

(i) The LCM of 8027 and 8019 is associative

LCM of 8019 and 8027 = LCM of 8027 and 8019

Related Least Common Multiples of 8019

Related Least Common Multiples of 8027

Frequently Asked Questions on LCM of 8019 and 8027

1. What is the LCM of 8019 and 8027?

Answer: LCM of 8019 and 8027 is 64368513.

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 8027?

Answer: Factors of 8027 are 1, 23, 349, 8027. There are 4 integers that are factors of 8027. The greatest factor of 8027 is 8027.

4. How to Find the LCM of 8019 and 8027?

Answer:

Least Common Multiple of 8019 and 8027 = 64368513

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 8027

8027 = 23 x 349

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

LCM = 64368513 = 3 x 3 x 3 x 3 x 3 x 3 x 11 x 23 x 349

Step 4: Therefore, the least common multiple of 8019 and 8027 is 64368513.