Least Common Multiple of 10005 and 10011

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10005 and 10011 the smallest integer that is 33386685 that is divisible by both numbers.

Least Common Multiple (LCM) of 10005 and 10011 is 33386685.

LCM(10005,10011) = 33386685

LCM of 10005 and 10011

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

LCM of:
and

Least Common Multiple of 10005 and 10011

LCM of 10005 and 10011 is 33386685

Least common multiple can be found by multiplying the highest exponent prime factors of 10005 and 10011. First we will calculate the prime factors of 10005 and 10011.

Prime Factorization of 10005


3 10005
5 3335
23 667
29 29
1

Prime factors of 10005 are 3, 5, 23,29. Prime factorization of 10005 in exponential form is:

10005 = 31×51×231×291

Prime Factorization of 10011


3 10011
47 3337
71 71
1

Prime factors of 10011 are 3, 47,71. Prime factorization of 10011 in exponential form is:

10011 = 31×471×711

Now multiplying the highest exponent prime factors to calculate the LCM of 10005 and 10011.

LCM(10005,10011) = 31×51×231×291×471×711
LCM(10005,10011) = 33386685

Factors of 10005

List of positive integer factors of 10005 that divides 10005 without a remainder.

1, 3, 5, 15, 23, 29, 69, 87, 115, 145, 345, 435, 667, 2001, 3335, 10005

Factors of 10011

List of positive integer factors of 10011 that divides 10011 without a remainder.

1, 3, 47, 71, 141, 213, 3337, 10011

Least Common Multiple of 10005 and 10011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10005 and 10011, than apply into the LCM equation.

GCF(10005,10011) = 3
LCM(10005,10011) = ( 10005 × 10011) / 3
LCM(10005,10011) = 100160055 / 3
LCM(10005,10011) = 33386685

Properties of LCM 10005 and 10011

(i) The LCM of 10011 and 10005 is associative

LCM of 10005 and 10011 = LCM of 10011 and 10005

Related Least Common Multiples of 10005

Related Least Common Multiples of 10011

Frequently Asked Questions on LCM of 10005 and 10011

1. What is the LCM of 10005 and 10011?

Answer: LCM of 10005 and 10011 is 33386685.

2. What are the Factors of 10005?

Answer: Factors of 10005 are 1, 3, 5, 15, 23, 29, 69, 87, 115, 145, 345, 435, 667, 2001, 3335, 10005. There are 16 integers that are factors of 10005. The greatest factor of 10005 is 10005.

3. What are the Factors of 10011?

Answer: Factors of 10011 are 1, 3, 47, 71, 141, 213, 3337, 10011. There are 8 integers that are factors of 10011. The greatest factor of 10011 is 10011.

4. How to Find the LCM of 10005 and 10011?

Answer:

Least Common Multiple of 10005 and 10011 = 33386685

Step 1: Find the prime factorization of 10005

10005 = 3 x 5 x 23 x 29

Step 2: Find the prime factorization of 10011

10011 = 3 x 47 x 71

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

LCM = 33386685 = 3 x 5 x 23 x 29 x 47 x 71

Step 4: Therefore, the least common multiple of 10005 and 10011 is 33386685.