Least Common Multiple of 8007 and 8013

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 8013 the smallest integer that is 21386697 that is divisible by both numbers.

Least Common Multiple (LCM) of 8007 and 8013 is 21386697.

LCM(8007,8013) = 21386697

LCM of 8007 and 8013

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

LCM of:
and

Least Common Multiple of 8007 and 8013

LCM of 8007 and 8013 is 21386697

Least common multiple can be found by multiplying the highest exponent prime factors of 8007 and 8013. First we will calculate the prime factors of 8007 and 8013.

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 8013


3 8013
2671 2671
1

Prime factors of 8013 are 3,2671. Prime factorization of 8013 in exponential form is:

8013 = 31×26711

Now multiplying the highest exponent prime factors to calculate the LCM of 8007 and 8013.

LCM(8007,8013) = 31×171×1571×26711
LCM(8007,8013) = 21386697

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 8013

List of positive integer factors of 8013 that divides 8013 without a remainder.

1, 3, 2671, 8013

Least Common Multiple of 8007 and 8013 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 8013, than apply into the LCM equation.

GCF(8007,8013) = 3
LCM(8007,8013) = ( 8007 × 8013) / 3
LCM(8007,8013) = 64160091 / 3
LCM(8007,8013) = 21386697

Properties of LCM 8007 and 8013

(i) The LCM of 8013 and 8007 is associative

LCM of 8007 and 8013 = LCM of 8013 and 8007

Related Least Common Multiples of 8007

Related Least Common Multiples of 8013

Frequently Asked Questions on LCM of 8007 and 8013

1. What is the LCM of 8007 and 8013?

Answer: LCM of 8007 and 8013 is 21386697.

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 8013?

Answer: Factors of 8013 are 1, 3, 2671, 8013. There are 4 integers that are factors of 8013. The greatest factor of 8013 is 8013.

4. How to Find the LCM of 8007 and 8013?

Answer:

Least Common Multiple of 8007 and 8013 = 21386697

Step 1: Find the prime factorization of 8007

8007 = 3 x 17 x 157

Step 2: Find the prime factorization of 8013

8013 = 3 x 2671

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

LCM = 21386697 = 3 x 17 x 157 x 2671

Step 4: Therefore, the least common multiple of 8007 and 8013 is 21386697.