Least Common Multiple of 8009 and 8015

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8009 and 8015 the smallest integer that is 64192135 that is divisible by both numbers.

Least Common Multiple (LCM) of 8009 and 8015 is 64192135.

LCM(8009,8015) = 64192135

LCM of 8009 and 8015

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

LCM of:
and

Least Common Multiple of 8009 and 8015

LCM of 8009 and 8015 is 64192135

Least common multiple can be found by multiplying the highest exponent prime factors of 8009 and 8015. First we will calculate the prime factors of 8009 and 8015.

Prime Factorization of 8009


8009 8009
1

Prime factors of 8009 are 8009. Prime factorization of 8009 in exponential form is:

8009 = 80091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8009 and 8015.

LCM(8009,8015) = 51×71×2291×80091
LCM(8009,8015) = 64192135

Factors of 8009

List of positive integer factors of 8009 that divides 8009 without a remainder.

1, 8009

Factors of 8015

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

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

Least Common Multiple of 8009 and 8015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8009 and 8015, than apply into the LCM equation.

GCF(8009,8015) = 1
LCM(8009,8015) = ( 8009 × 8015) / 1
LCM(8009,8015) = 64192135 / 1
LCM(8009,8015) = 64192135

Properties of LCM 8009 and 8015

(i) The LCM of 8015 and 8009 is associative

LCM of 8009 and 8015 = LCM of 8015 and 8009

Related Least Common Multiples of 8009

Related Least Common Multiples of 8015

Frequently Asked Questions on LCM of 8009 and 8015

1. What is the LCM of 8009 and 8015?

Answer: LCM of 8009 and 8015 is 64192135.

2. What are the Factors of 8009?

Answer: Factors of 8009 are 1, 8009. There are 2 integers that are factors of 8009. The greatest factor of 8009 is 8009.

3. 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.

4. How to Find the LCM of 8009 and 8015?

Answer:

Least Common Multiple of 8009 and 8015 = 64192135

Step 1: Find the prime factorization of 8009

8009 = 8009

Step 2: Find the prime factorization of 8015

8015 = 5 x 7 x 229

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

LCM = 64192135 = 5 x 7 x 229 x 8009

Step 4: Therefore, the least common multiple of 8009 and 8015 is 64192135.