Least Common Multiple of 8006 and 8014

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 8014 the smallest integer that is 32080042 that is divisible by both numbers.

Least Common Multiple (LCM) of 8006 and 8014 is 32080042.

LCM(8006,8014) = 32080042

LCM of 8006 and 8014

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

LCM of:
and

Least Common Multiple of 8006 and 8014

LCM of 8006 and 8014 is 32080042

Least common multiple can be found by multiplying the highest exponent prime factors of 8006 and 8014. First we will calculate the prime factors of 8006 and 8014.

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 8014


2 8014
4007 4007
1

Prime factors of 8014 are 2,4007. Prime factorization of 8014 in exponential form is:

8014 = 21×40071

Now multiplying the highest exponent prime factors to calculate the LCM of 8006 and 8014.

LCM(8006,8014) = 21×40031×40071
LCM(8006,8014) = 32080042

Factors of 8006

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

1, 2, 4003, 8006

Factors of 8014

List of positive integer factors of 8014 that divides 8014 without a remainder.

1, 2, 4007, 8014

Least Common Multiple of 8006 and 8014 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 8014, than apply into the LCM equation.

GCF(8006,8014) = 2
LCM(8006,8014) = ( 8006 × 8014) / 2
LCM(8006,8014) = 64160084 / 2
LCM(8006,8014) = 32080042

Properties of LCM 8006 and 8014

(i) The LCM of 8014 and 8006 is associative

LCM of 8006 and 8014 = LCM of 8014 and 8006

Related Least Common Multiples of 8006

Related Least Common Multiples of 8014

Frequently Asked Questions on LCM of 8006 and 8014

1. What is the LCM of 8006 and 8014?

Answer: LCM of 8006 and 8014 is 32080042.

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 8014?

Answer: Factors of 8014 are 1, 2, 4007, 8014. There are 4 integers that are factors of 8014. The greatest factor of 8014 is 8014.

4. How to Find the LCM of 8006 and 8014?

Answer:

Least Common Multiple of 8006 and 8014 = 32080042

Step 1: Find the prime factorization of 8006

8006 = 2 x 4003

Step 2: Find the prime factorization of 8014

8014 = 2 x 4007

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

LCM = 32080042 = 2 x 4003 x 4007

Step 4: Therefore, the least common multiple of 8006 and 8014 is 32080042.