Least Common Multiple of 8001 and 8006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8001 and 8006 the smallest integer that is 64056006 that is divisible by both numbers.

Least Common Multiple (LCM) of 8001 and 8006 is 64056006.

LCM(8001,8006) = 64056006

LCM of 8001 and 8006

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

LCM of:
and

Least Common Multiple of 8001 and 8006

LCM of 8001 and 8006 is 64056006

Least common multiple can be found by multiplying the highest exponent prime factors of 8001 and 8006. First we will calculate the prime factors of 8001 and 8006.

Prime Factorization of 8001


3 8001
3 2667
7 889
127 127
1

Prime factors of 8001 are 3, 7,127. Prime factorization of 8001 in exponential form is:

8001 = 32×71×1271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8001 and 8006.

LCM(8001,8006) = 21×32×71×1271×40031
LCM(8001,8006) = 64056006

Factors of 8001

List of positive integer factors of 8001 that divides 8001 without a remainder.

1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001

Factors of 8006

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

1, 2, 4003, 8006

Least Common Multiple of 8001 and 8006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8001 and 8006, than apply into the LCM equation.

GCF(8001,8006) = 1
LCM(8001,8006) = ( 8001 × 8006) / 1
LCM(8001,8006) = 64056006 / 1
LCM(8001,8006) = 64056006

Properties of LCM 8001 and 8006

(i) The LCM of 8006 and 8001 is associative

LCM of 8001 and 8006 = LCM of 8006 and 8001

Related Least Common Multiples of 8001

Related Least Common Multiples of 8006

Frequently Asked Questions on LCM of 8001 and 8006

1. What is the LCM of 8001 and 8006?

Answer: LCM of 8001 and 8006 is 64056006.

2. What are the Factors of 8001?

Answer: Factors of 8001 are 1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001. There are 12 integers that are factors of 8001. The greatest factor of 8001 is 8001.

3. 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.

4. How to Find the LCM of 8001 and 8006?

Answer:

Least Common Multiple of 8001 and 8006 = 64056006

Step 1: Find the prime factorization of 8001

8001 = 3 x 3 x 7 x 127

Step 2: Find the prime factorization of 8006

8006 = 2 x 4003

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

LCM = 64056006 = 2 x 3 x 3 x 7 x 127 x 4003

Step 4: Therefore, the least common multiple of 8001 and 8006 is 64056006.