Least Common Multiple of 1001 and 1002

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 1002 the smallest integer that is 1003002 that is divisible by both numbers.

Least Common Multiple (LCM) of 1001 and 1002 is 1003002.

LCM(1001,1002) = 1003002

LCM of 1001 and 1002

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

LCM of:
and

Least Common Multiple of 1001 and 1002

LCM of 1001 and 1002 is 1003002

Least common multiple can be found by multiplying the highest exponent prime factors of 1001 and 1002. First we will calculate the prime factors of 1001 and 1002.

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 1002


2 1002
3 501
167 167
1

Prime factors of 1002 are 2, 3,167. Prime factorization of 1002 in exponential form is:

1002 = 21×31×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 1001 and 1002.

LCM(1001,1002) = 21×31×71×111×131×1671
LCM(1001,1002) = 1003002

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 1002

List of positive integer factors of 1002 that divides 1002 without a remainder.

1, 2, 3, 6, 167, 334, 501, 1002

Least Common Multiple of 1001 and 1002 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 1002, than apply into the LCM equation.

GCF(1001,1002) = 1
LCM(1001,1002) = ( 1001 × 1002) / 1
LCM(1001,1002) = 1003002 / 1
LCM(1001,1002) = 1003002

Properties of LCM 1001 and 1002

(i) The LCM of 1002 and 1001 is associative

LCM of 1001 and 1002 = LCM of 1002 and 1001

Related Least Common Multiples of 1001

Related Least Common Multiples of 1002

Frequently Asked Questions on LCM of 1001 and 1002

1. What is the LCM of 1001 and 1002?

Answer: LCM of 1001 and 1002 is 1003002.

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 1002?

Answer: Factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002. There are 8 integers that are factors of 1002. The greatest factor of 1002 is 1002.

4. How to Find the LCM of 1001 and 1002?

Answer:

Least Common Multiple of 1001 and 1002 = 1003002

Step 1: Find the prime factorization of 1001

1001 = 7 x 11 x 13

Step 2: Find the prime factorization of 1002

1002 = 2 x 3 x 167

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

LCM = 1003002 = 2 x 3 x 7 x 11 x 13 x 167

Step 4: Therefore, the least common multiple of 1001 and 1002 is 1003002.