Least Common Multiple of 10011 and 10018

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 10018 the smallest integer that is 100290198 that is divisible by both numbers.

Least Common Multiple (LCM) of 10011 and 10018 is 100290198.

LCM(10011,10018) = 100290198

LCM of 10011 and 10018

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

LCM of:
and

Least Common Multiple of 10011 and 10018

LCM of 10011 and 10018 is 100290198

Least common multiple can be found by multiplying the highest exponent prime factors of 10011 and 10018. First we will calculate the prime factors of 10011 and 10018.

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 10018


2 10018
5009 5009
1

Prime factors of 10018 are 2,5009. Prime factorization of 10018 in exponential form is:

10018 = 21×50091

Now multiplying the highest exponent prime factors to calculate the LCM of 10011 and 10018.

LCM(10011,10018) = 21×31×471×711×50091
LCM(10011,10018) = 100290198

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 10018

List of positive integer factors of 10018 that divides 10018 without a remainder.

1, 2, 5009, 10018

Least Common Multiple of 10011 and 10018 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 10018, than apply into the LCM equation.

GCF(10011,10018) = 1
LCM(10011,10018) = ( 10011 × 10018) / 1
LCM(10011,10018) = 100290198 / 1
LCM(10011,10018) = 100290198

Properties of LCM 10011 and 10018

(i) The LCM of 10018 and 10011 is associative

LCM of 10011 and 10018 = LCM of 10018 and 10011

Related Least Common Multiples of 10011

Related Least Common Multiples of 10018

Frequently Asked Questions on LCM of 10011 and 10018

1. What is the LCM of 10011 and 10018?

Answer: LCM of 10011 and 10018 is 100290198.

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 10018?

Answer: Factors of 10018 are 1, 2, 5009, 10018. There are 4 integers that are factors of 10018. The greatest factor of 10018 is 10018.

4. How to Find the LCM of 10011 and 10018?

Answer:

Least Common Multiple of 10011 and 10018 = 100290198

Step 1: Find the prime factorization of 10011

10011 = 3 x 47 x 71

Step 2: Find the prime factorization of 10018

10018 = 2 x 5009

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

LCM = 100290198 = 2 x 3 x 47 x 71 x 5009

Step 4: Therefore, the least common multiple of 10011 and 10018 is 100290198.