Least Common Multiple of 8015 and 8019

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8015 and 8019 the smallest integer that is 64272285 that is divisible by both numbers.

Least Common Multiple (LCM) of 8015 and 8019 is 64272285.

LCM(8015,8019) = 64272285

LCM of 8015 and 8019

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

LCM of:
and

Least Common Multiple of 8015 and 8019

LCM of 8015 and 8019 is 64272285

Least common multiple can be found by multiplying the highest exponent prime factors of 8015 and 8019. First we will calculate the prime factors of 8015 and 8019.

Prime Factorization of 8015


5 8015
7 1603
229 229
1

Prime factors of 8015 are 5, 7,229. Prime factorization of 8015 in exponential form is:

8015 = 51×71×2291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8015 and 8019.

LCM(8015,8019) = 36×51×71×111×2291
LCM(8015,8019) = 64272285

Factors of 8015

List of positive integer factors of 8015 that divides 8015 without a remainder.

1, 5, 7, 35, 229, 1145, 1603, 8015

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

Least Common Multiple of 8015 and 8019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8015 and 8019, than apply into the LCM equation.

GCF(8015,8019) = 1
LCM(8015,8019) = ( 8015 × 8019) / 1
LCM(8015,8019) = 64272285 / 1
LCM(8015,8019) = 64272285

Properties of LCM 8015 and 8019

(i) The LCM of 8019 and 8015 is associative

LCM of 8015 and 8019 = LCM of 8019 and 8015

Related Least Common Multiples of 8015

Related Least Common Multiples of 8019

Frequently Asked Questions on LCM of 8015 and 8019

1. What is the LCM of 8015 and 8019?

Answer: LCM of 8015 and 8019 is 64272285.

2. What are the Factors of 8015?

Answer: Factors of 8015 are 1, 5, 7, 35, 229, 1145, 1603, 8015. There are 8 integers that are factors of 8015. The greatest factor of 8015 is 8015.

3. 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.

4. How to Find the LCM of 8015 and 8019?

Answer:

Least Common Multiple of 8015 and 8019 = 64272285

Step 1: Find the prime factorization of 8015

8015 = 5 x 7 x 229

Step 2: Find the prime factorization of 8019

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

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

LCM = 64272285 = 3 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 11 x 229

Step 4: Therefore, the least common multiple of 8015 and 8019 is 64272285.