Least Common Multiple of 8006 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 8006 and 8013 the smallest integer that is 64152078 that is divisible by both numbers.

Least Common Multiple (LCM) of 8006 and 8013 is 64152078.

LCM(8006,8013) = 64152078

LCM of 8006 and 8013

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

LCM of:
and

Least Common Multiple of 8006 and 8013

LCM of 8006 and 8013 is 64152078

Least common multiple can be found by multiplying the highest exponent prime factors of 8006 and 8013. First we will calculate the prime factors of 8006 and 8013.

Prime Factorization of 8006


2 8006
4003 4003
1

Prime factors of 8006 are 2,4003. Prime factorization of 8006 in exponential form is:

8006 = 21×40031

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 8006 and 8013.

LCM(8006,8013) = 21×31×26711×40031
LCM(8006,8013) = 64152078

Factors of 8006

List of positive integer factors of 8006 that divides 8006 without a remainder.

1, 2, 4003, 8006

Factors of 8013

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

1, 3, 2671, 8013

Least Common Multiple of 8006 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 8006 and 8013, than apply into the LCM equation.

GCF(8006,8013) = 1
LCM(8006,8013) = ( 8006 × 8013) / 1
LCM(8006,8013) = 64152078 / 1
LCM(8006,8013) = 64152078

Properties of LCM 8006 and 8013

(i) The LCM of 8013 and 8006 is associative

LCM of 8006 and 8013 = LCM of 8013 and 8006

Related Least Common Multiples of 8006

Related Least Common Multiples of 8013

Frequently Asked Questions on LCM of 8006 and 8013

1. What is the LCM of 8006 and 8013?

Answer: LCM of 8006 and 8013 is 64152078.

2. What are the Factors of 8006?

Answer: Factors of 8006 are 1, 2, 4003, 8006. There are 4 integers that are factors of 8006. The greatest factor of 8006 is 8006.

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 8006 and 8013?

Answer:

Least Common Multiple of 8006 and 8013 = 64152078

Step 1: Find the prime factorization of 8006

8006 = 2 x 4003

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 = 64152078 = 2 x 3 x 2671 x 4003

Step 4: Therefore, the least common multiple of 8006 and 8013 is 64152078.