Least Common Multiple of 10011 and 10015

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10011 and 10015 the smallest integer that is 100260165 that is divisible by both numbers.

Least Common Multiple (LCM) of 10011 and 10015 is 100260165.

LCM(10011,10015) = 100260165

LCM of 10011 and 10015

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

LCM of:
and

Least Common Multiple of 10011 and 10015

LCM of 10011 and 10015 is 100260165

Least common multiple can be found by multiplying the highest exponent prime factors of 10011 and 10015. First we will calculate the prime factors of 10011 and 10015.

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

Prime Factorization of 10015


5 10015
2003 2003
1

Prime factors of 10015 are 5,2003. Prime factorization of 10015 in exponential form is:

10015 = 51×20031

Now multiplying the highest exponent prime factors to calculate the LCM of 10011 and 10015.

LCM(10011,10015) = 31×51×471×711×20031
LCM(10011,10015) = 100260165

Factors of 10011

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

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

Factors of 10015

List of positive integer factors of 10015 that divides 10015 without a remainder.

1, 5, 2003, 10015

Least Common Multiple of 10011 and 10015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10011 and 10015, than apply into the LCM equation.

GCF(10011,10015) = 1
LCM(10011,10015) = ( 10011 × 10015) / 1
LCM(10011,10015) = 100260165 / 1
LCM(10011,10015) = 100260165

Properties of LCM 10011 and 10015

(i) The LCM of 10015 and 10011 is associative

LCM of 10011 and 10015 = LCM of 10015 and 10011

Related Least Common Multiples of 10011

Related Least Common Multiples of 10015

Frequently Asked Questions on LCM of 10011 and 10015

1. What is the LCM of 10011 and 10015?

Answer: LCM of 10011 and 10015 is 100260165.

2. 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.

3. What are the Factors of 10015?

Answer: Factors of 10015 are 1, 5, 2003, 10015. There are 4 integers that are factors of 10015. The greatest factor of 10015 is 10015.

4. How to Find the LCM of 10011 and 10015?

Answer:

Least Common Multiple of 10011 and 10015 = 100260165

Step 1: Find the prime factorization of 10011

10011 = 3 x 47 x 71

Step 2: Find the prime factorization of 10015

10015 = 5 x 2003

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

LCM = 100260165 = 3 x 5 x 47 x 71 x 2003

Step 4: Therefore, the least common multiple of 10011 and 10015 is 100260165.