Least Common Multiple of 1001 and 1006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1001 and 1006 the smallest integer that is 1007006 that is divisible by both numbers.

Least Common Multiple (LCM) of 1001 and 1006 is 1007006.

LCM(1001,1006) = 1007006

LCM of 1001 and 1006

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

LCM of:
and

Least Common Multiple of 1001 and 1006

LCM of 1001 and 1006 is 1007006

Least common multiple can be found by multiplying the highest exponent prime factors of 1001 and 1006. First we will calculate the prime factors of 1001 and 1006.

Prime Factorization of 1001


7 1001
11 143
13 13
1

Prime factors of 1001 are 7, 11,13. Prime factorization of 1001 in exponential form is:

1001 = 71×111×131

Prime Factorization of 1006


2 1006
503 503
1

Prime factors of 1006 are 2,503. Prime factorization of 1006 in exponential form is:

1006 = 21×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 1001 and 1006.

LCM(1001,1006) = 21×71×111×131×5031
LCM(1001,1006) = 1007006

Factors of 1001

List of positive integer factors of 1001 that divides 1001 without a remainder.

1, 7, 11, 13, 77, 91, 143, 1001

Factors of 1006

List of positive integer factors of 1006 that divides 1006 without a remainder.

1, 2, 503, 1006

Least Common Multiple of 1001 and 1006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1001 and 1006, than apply into the LCM equation.

GCF(1001,1006) = 1
LCM(1001,1006) = ( 1001 × 1006) / 1
LCM(1001,1006) = 1007006 / 1
LCM(1001,1006) = 1007006

Properties of LCM 1001 and 1006

(i) The LCM of 1006 and 1001 is associative

LCM of 1001 and 1006 = LCM of 1006 and 1001

Related Least Common Multiples of 1001

Related Least Common Multiples of 1006

Frequently Asked Questions on LCM of 1001 and 1006

1. What is the LCM of 1001 and 1006?

Answer: LCM of 1001 and 1006 is 1007006.

2. What are the Factors of 1001?

Answer: Factors of 1001 are 1, 7, 11, 13, 77, 91, 143, 1001. There are 8 integers that are factors of 1001. The greatest factor of 1001 is 1001.

3. What are the Factors of 1006?

Answer: Factors of 1006 are 1, 2, 503, 1006. There are 4 integers that are factors of 1006. The greatest factor of 1006 is 1006.

4. How to Find the LCM of 1001 and 1006?

Answer:

Least Common Multiple of 1001 and 1006 = 1007006

Step 1: Find the prime factorization of 1001

1001 = 7 x 11 x 13

Step 2: Find the prime factorization of 1006

1006 = 2 x 503

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

LCM = 1007006 = 2 x 7 x 11 x 13 x 503

Step 4: Therefore, the least common multiple of 1001 and 1006 is 1007006.