Least Common Multiple of 10011 and 10019
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 10019 the smallest integer that is 100300209 that is divisible by both numbers.
Least Common Multiple (LCM) of 10011 and 10019 is 100300209.
LCM(10011,10019) = 100300209
LCM of 10011 and 10019
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10011 and 10019 by Prime method
- Least Common Multiple of 10011 and 10019 with GCF Formula
LCM of 10011 and 10019 is 100300209
Least common multiple can be found by multiplying the highest exponent prime factors of 10011 and 10019. First we will calculate the prime factors of 10011 and 10019.
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 10019
| 43 | 10019 |
| 233 | 233 |
| 1 |
Prime factors of 10019 are 43,233. Prime factorization of 10019 in exponential form is:
10019 = 431×2331
Now multiplying the highest exponent prime factors to calculate the LCM of 10011 and 10019.
LCM(10011,10019) = 31×431×471×711×2331
LCM(10011,10019) = 100300209
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 10019
List of positive integer factors of 10019 that divides 10019 without a remainder.
1, 43, 233, 10019
Least Common Multiple of 10011 and 10019 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 10019, than apply into the LCM equation.
GCF(10011,10019) = 1
LCM(10011,10019) = ( 10011 × 10019) / 1
LCM(10011,10019) = 100300209 / 1
LCM(10011,10019) = 100300209
Properties of LCM 10011 and 10019
(i) The LCM of 10019 and 10011 is associative
LCM of 10011 and 10019 = LCM of 10019 and 10011
Related Least Common Multiples of 10011
Related Least Common Multiples of 10019
Frequently Asked Questions on LCM of 10011 and 10019
1. What is the LCM of 10011 and 10019?
Answer: LCM of 10011 and 10019 is 100300209.
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 10019?
Answer: Factors of 10019 are 1, 43, 233, 10019. There are 4 integers that are factors of 10019. The greatest factor of 10019 is 10019.
4. How to Find the LCM of 10011 and 10019?
Answer:
Least Common Multiple of 10011 and 10019 = 100300209
Step 1: Find the prime factorization of 10011
10011 = 3 x 47 x 71
Step 2: Find the prime factorization of 10019
10019 = 43 x 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 100300209 = 3 x 43 x 47 x 71 x 233
Step 4: Therefore, the least common multiple of 10011 and 10019 is 100300209.