Least Common Multiple of 10013 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 10013 and 10019 the smallest integer that is 100320247 that is divisible by both numbers.
Least Common Multiple (LCM) of 10013 and 10019 is 100320247.
LCM(10013,10019) = 100320247
LCM of 10013 and 10019
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10013 and 10019 by Prime method
- Least Common Multiple of 10013 and 10019 with GCF Formula
LCM of 10013 and 10019 is 100320247
Least common multiple can be found by multiplying the highest exponent prime factors of 10013 and 10019. First we will calculate the prime factors of 10013 and 10019.
Prime Factorization of 10013
| 17 | 10013 |
| 19 | 589 |
| 31 | 31 |
| 1 |
Prime factors of 10013 are 17, 19,31. Prime factorization of 10013 in exponential form is:
10013 = 171×191×311
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 10013 and 10019.
LCM(10013,10019) = 171×191×311×431×2331
LCM(10013,10019) = 100320247
Factors of 10013
List of positive integer factors of 10013 that divides 10013 without a remainder.
1, 17, 19, 31, 323, 527, 589, 10013
Factors of 10019
List of positive integer factors of 10019 that divides 10019 without a remainder.
1, 43, 233, 10019
Least Common Multiple of 10013 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 10013 and 10019, than apply into the LCM equation.
GCF(10013,10019) = 1
LCM(10013,10019) = ( 10013 × 10019) / 1
LCM(10013,10019) = 100320247 / 1
LCM(10013,10019) = 100320247
Properties of LCM 10013 and 10019
(i) The LCM of 10019 and 10013 is associative
LCM of 10013 and 10019 = LCM of 10019 and 10013
Related Least Common Multiples of 10013
Related Least Common Multiples of 10019
Frequently Asked Questions on LCM of 10013 and 10019
1. What is the LCM of 10013 and 10019?
Answer: LCM of 10013 and 10019 is 100320247.
2. What are the Factors of 10013?
Answer: Factors of 10013 are 1, 17, 19, 31, 323, 527, 589, 10013. There are 8 integers that are factors of 10013. The greatest factor of 10013 is 10013.
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 10013 and 10019?
Answer:
Least Common Multiple of 10013 and 10019 = 100320247
Step 1: Find the prime factorization of 10013
10013 = 17 x 19 x 31
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 = 100320247 = 17 x 19 x 31 x 43 x 233
Step 4: Therefore, the least common multiple of 10013 and 10019 is 100320247.