Least Common Multiple of 10009 and 10017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10009 and 10017 the smallest integer that is 100260153 that is divisible by both numbers.

Least Common Multiple (LCM) of 10009 and 10017 is 100260153.

LCM(10009,10017) = 100260153

LCM of 10009 and 10017

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

LCM of:
and

Least Common Multiple of 10009 and 10017

LCM of 10009 and 10017 is 100260153

Least common multiple can be found by multiplying the highest exponent prime factors of 10009 and 10017. First we will calculate the prime factors of 10009 and 10017.

Prime Factorization of 10009


10009 10009
1

Prime factors of 10009 are 10009. Prime factorization of 10009 in exponential form is:

10009 = 100091

Prime Factorization of 10017


3 10017
3 3339
3 1113
7 371
53 53
1

Prime factors of 10017 are 3, 7,53. Prime factorization of 10017 in exponential form is:

10017 = 33×71×531

Now multiplying the highest exponent prime factors to calculate the LCM of 10009 and 10017.

LCM(10009,10017) = 33×71×531×100091
LCM(10009,10017) = 100260153

Factors of 10009

List of positive integer factors of 10009 that divides 10009 without a remainder.

1, 10009

Factors of 10017

List of positive integer factors of 10017 that divides 10017 without a remainder.

1, 3, 7, 9, 21, 27, 53, 63, 159, 189, 371, 477, 1113, 1431, 3339, 10017

Least Common Multiple of 10009 and 10017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10009 and 10017, than apply into the LCM equation.

GCF(10009,10017) = 1
LCM(10009,10017) = ( 10009 × 10017) / 1
LCM(10009,10017) = 100260153 / 1
LCM(10009,10017) = 100260153

Properties of LCM 10009 and 10017

(i) The LCM of 10017 and 10009 is associative

LCM of 10009 and 10017 = LCM of 10017 and 10009

Related Least Common Multiples of 10009

Related Least Common Multiples of 10017

Frequently Asked Questions on LCM of 10009 and 10017

1. What is the LCM of 10009 and 10017?

Answer: LCM of 10009 and 10017 is 100260153.

2. What are the Factors of 10009?

Answer: Factors of 10009 are 1, 10009. There are 2 integers that are factors of 10009. The greatest factor of 10009 is 10009.

3. What are the Factors of 10017?

Answer: Factors of 10017 are 1, 3, 7, 9, 21, 27, 53, 63, 159, 189, 371, 477, 1113, 1431, 3339, 10017. There are 16 integers that are factors of 10017. The greatest factor of 10017 is 10017.

4. How to Find the LCM of 10009 and 10017?

Answer:

Least Common Multiple of 10009 and 10017 = 100260153

Step 1: Find the prime factorization of 10009

10009 = 10009

Step 2: Find the prime factorization of 10017

10017 = 3 x 3 x 3 x 7 x 53

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

LCM = 100260153 = 3 x 3 x 3 x 7 x 53 x 10009

Step 4: Therefore, the least common multiple of 10009 and 10017 is 100260153.