Least Common Multiple of 8007 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 8007 and 8015 the smallest integer that is 64176105 that is divisible by both numbers.

Least Common Multiple (LCM) of 8007 and 8015 is 64176105.

LCM(8007,8015) = 64176105

LCM of 8007 and 8015

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

LCM of:
and

Least Common Multiple of 8007 and 8015

LCM of 8007 and 8015 is 64176105

Least common multiple can be found by multiplying the highest exponent prime factors of 8007 and 8015. First we will calculate the prime factors of 8007 and 8015.

Prime Factorization of 8007


3 8007
17 2669
157 157
1

Prime factors of 8007 are 3, 17,157. Prime factorization of 8007 in exponential form is:

8007 = 31×171×1571

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 8007 and 8015.

LCM(8007,8015) = 31×51×71×171×1571×2291
LCM(8007,8015) = 64176105

Factors of 8007

List of positive integer factors of 8007 that divides 8007 without a remainder.

1, 3, 17, 51, 157, 471, 2669, 8007

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 8007 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 8007 and 8015, than apply into the LCM equation.

GCF(8007,8015) = 1
LCM(8007,8015) = ( 8007 × 8015) / 1
LCM(8007,8015) = 64176105 / 1
LCM(8007,8015) = 64176105

Properties of LCM 8007 and 8015

(i) The LCM of 8015 and 8007 is associative

LCM of 8007 and 8015 = LCM of 8015 and 8007

Related Least Common Multiples of 8007

Related Least Common Multiples of 8015

Frequently Asked Questions on LCM of 8007 and 8015

1. What is the LCM of 8007 and 8015?

Answer: LCM of 8007 and 8015 is 64176105.

2. What are the Factors of 8007?

Answer: Factors of 8007 are 1, 3, 17, 51, 157, 471, 2669, 8007. There are 8 integers that are factors of 8007. The greatest factor of 8007 is 8007.

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 8007 and 8015?

Answer:

Least Common Multiple of 8007 and 8015 = 64176105

Step 1: Find the prime factorization of 8007

8007 = 3 x 17 x 157

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 = 64176105 = 3 x 5 x 7 x 17 x 157 x 229

Step 4: Therefore, the least common multiple of 8007 and 8015 is 64176105.